Trump refuses to pledge support to eventual Republican nominee

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Donald Trump Refuses To Rule Out Independent Run

Donald Trump kicked off the first debate of the 2016 campaign cycle by boldly refusing to promise his support the eventual Republican nominee for the presidency or to rule out a third party run.

Fox News host Bret Baier opened the event by asking all the candidates to raise their hands if they were unwilling to support the ultimate GOP nominee -- and only Trump's hand went up.

"I will not make the pledge at this time," he said.

He justified the response by saying he would support himself if he turned out to be the nominee, but couldn't make any promises beyond that.

Cable subscribers can watch the rest of the debate as it unfolds live at FoxNews.com.

See pictures from the first debate:
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Trump refuses to pledge support to eventual Republican nominee
Republican presidential candidates from left, Chris Christie, Marco Rubio, Ben Carson, Scott Walker, Donald Trump, Jeb Bush, Mike Huckabee, Ted Cruz, Rand Paul, and John Kasich take the stage for the first Republican presidential debate at the Quicken Loans Arena Thursday, Aug. 6, 2015, in Cleveland. (AP Photo/Andrew Harnik)
Republican presidential candidates arrive on stage for the start of the first Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. From left are: New Jersey Gov. Chris Christie; Florida Sen. Marco Rubio; retired neurosurgeon Ben Carson; Wisconsin Gov. Scott Walker; real estate magnate Donald Trump; former Florida Gov. Jeb Bush; former Arkansas Gov. Mike Huckabee; Texas Sen. Ted Cruz; Kentucky Sen. Rand Paul; and Ohio Gov. John Kasich. AFP PHOTO / MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
Real estate tycoon Donald Trump participates in the first Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. AFP PHOTO / MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
Republican presidential candidate Donald Trump reacts during the first Republican presidential debate at the Quicken Loans Arena Thursday, Aug. 6, 2015, in Cleveland, as Scott Walker is seen at left.. (AP Photo/Andrew Harnik)
New Jersey Gov. Chris Christie (L), Florida Sen. Marco Rubio (C) and retired neurosurgeon Ben Carson (R) participate in the Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. AFP PHOTO / MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
Republican presidential candidate Jeb Bush speaks as Scott Walker and Donald Trump listen during the first Republican presidential debate at the Quicken Loans Arena Thursday, Aug. 6, 2015, in Cleveland. (AP Photo/Andrew Harnik)
Real estate tycoon Donald Trump (R) a nd Wisconsin Gov. Scott Walker participate in the Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. AFP PHOTO / MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
CLEVELAND, OH - AUGUST 06: Republican presidential candidates (L-R) Wisconsin Gov. Scott Walker, Donald Trump and Jeb Bush take the stage for the first prime-time presidential debate hosted by FOX News and Facebook at the Quicken Loans Arena August 6, 2015 in Cleveland, Ohio. The top-ten GOP candidates were selected to participate in the debate based on their rank in an average of the five most recent national political polls. (Photo by Chip Somodevilla/Getty Images)
Republican presidential hopeful Ted Cruz speaks during the prime time Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. AFP PHOTO/MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
Former Florida governor Jeb Bush participates in the Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. AFP PHOTO / MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
Republican presidential hopeful Donald Trump speaks during the prime time Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. AFP PHOTO/MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
New Jersey Gov. Chris Christey participates in the Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. AFP PHOTO / MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
Republican presidential hopeful Scott Walker (R) speaks with opponent Ben Carson during the prime time Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. AFP PHOTO/MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
Ohio Gov. John Kasich participates in the Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. AFP PHOTO / MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
CLEVELAND, OH - AUGUST 06: Republican presidential candidates (L-R) New Jersey Gov. Chris Christie, Sen. Marco Rubio (R-FL), Ben Carson, Wisconsin Gov. Scott Walker, Donald Trump, Jeb Bush, Mike Huckabee, Sen. Ted Cruz (R-TX) and Sen. Rand Paul (R-KY) take the stage for the first prime-time presidential debate hosted by FOX News and Facebook at the Quicken Loans Arena August 6, 2015 in Cleveland, Ohio. The top-ten GOP candidates were selected to participate in the debate based on their rank in an average of the five most recent national political polls. (Photo by Scott Olson/Getty Images)
Republican presidential candidates from left, Chris Christie, Marco Rubio and Ben Carson take the stage for the first Republican presidential debate at the Quicken Loans Arena Thursday, Aug. 6, 2015, in Cleveland. (AP Photo/Andrew Harnik)
Republican presidential hopeful Rand Paul speaks during the prime time Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. AFP PHOTO/MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
CLEVELAND, OH - AUGUST 06: Republican presidential candidates (L-R) Ben Carson, Wisconsin Gov. Scott Walker, Donald Trump and Jeb Bush take the stage for the first prime-time presidential debate hosted by FOX News and Facebook at the Quicken Loans Arena August 6, 2015 in Cleveland, Ohio. The top-ten GOP candidates were selected to participate in the debate based on their rank in an average of the five most recent national political polls. (Photo by Scott Olson/Getty Images)
CLEVELAND, OH - AUGUST 06: Republican presidential candidates (L-R) Jeb Bush, Mike Huckabee, Sen. Ted Cruz (R-TX), Sen. Rand Paul (R-KY) and John Kasich take the stage for the first prime-time presidential debate hosted by FOX News and Facebook at the Quicken Loans Arena August 6, 2015 in Cleveland, Ohio. The top-ten GOP candidates were selected to participate in the debate based on their rank in an average of the five most recent national political polls. (Photo by Chip Somodevilla/Getty Images)
Republican presidential candidate Sen. Rand Paul, R-Ky., speaks during the first Republican presidential debate at the Quicken Loans Arena Thursday, Aug. 6, 2015, in Cleveland. (AP Photo/John Minchillo)
Real estate tycoon Donald Trump (L) and former Florida governor Jeb Bush (R) participate in the Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. AFP PHOTO / MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
Wisconsin Governor Scott Walker (C), retired neurosurgeon Ben Carson (L), and real estate tycoon Donald Trump (R) participate in the Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. AFP PHOTO / MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
CLEVELAND, OH - AUGUST 06: Republican presidential candidates (L-R) Wisconsin Gov. Scott Walker, Donald Trump and Jeb Bush participate in the first prime-time presidential debate hosted by FOX News and Facebook at the Quicken Loans Arena August 6, 2015 in Cleveland, Ohio. The top-ten GOP candidates were selected to participate in the debate based on their rank in an average of the five most recent national political polls. (Photo by Chip Somodevilla/Getty Images)
CLEVELAND, OH - AUGUST 06: Republican presidential candidate New Jersey Gov. Chris Christie participates in the first prime-time presidential debate hosted by FOX News and Facebook at the Quicken Loans Arena August 6, 2015 in Cleveland, Ohio. The top-ten GOP candidates were selected to participate in the debate based on their rank in an average of the five most recent national political polls. (Photo by Chip Somodevilla/Getty Images)
Real estate tycoon Donald Trump (R) confers with Ohio Governor John Kasich (L) during a break in the Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. AFP PHOTO / MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
CLEVELAND, OH - AUGUST 06: Audience members are reflected in a window as Republican presidential candidates (L-R) New Jersey Gov. Chris Christie, Sen. Marco Rubio (R-FL), Ben Carson, Wisconsin Gov. Scott Walker, Donald Trump, Jeb Bush, Mike Huckabee, Sen. Ted Cruz (R-TX), Sen. Rand Paul (R-KY) and John Kasich participate in the first prime-time presidential debate hosted by FOX News and Facebook at the Quicken Loans Arena August 6, 2015 in Cleveland, Ohio. The top-ten GOP candidates were selected to participate in the debate based on their rank in an average of the five most recent national political polls. (Photo by Chip Somodevilla/Getty Images)
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Trump has flirted with a third party run previously.

"So many people want me to, if I don't win ... I'll have to see how I'm being treated by the Republicans," he said last month in an interview with The Hill.

The current Republican frontrunner admitted during his campaign announcement that such a decision could hurt the GOP's White House chances.

"The best way of defeating the Democrats, and probably Hillary – I think it's going to be Hillary – is to run as a Republican. If I do the third-party thing it would be, I think, very bad for the Republicans," Trump said in his campaign announcement.

Recent polling supports Trump's claim, finding that his supporters are more likely to be Republicans than Democrats -- meaning his decision to run as a third party candidate would likely pull more votes away from the GOP.
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