Trump takes national lead with 6-point convention bounce
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Republican presidential nominee Donald TrumpDonald John TrumpFormer Joint Chiefs chairman: 'The last thing in the world we need right now is a war with Iran' Pence: 'We're not convinced' downing of drone was 'authorized at the highest levels' Trump: Bolton would take on the whole world at one time MORE leads Hillary ClintonHillary Diane Rodham ClintonTrump: I'd rather run against Biden Democrats target Florida Hispanics in 2020 George Conway says new rape allegation against Trump 'is more credible' than Juanita Broaddrick MORE in a national poll released Monday morning, gaining 6 points since the Republican National Convention.

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Trump now leads his Democratic rival by 3 points, 48 percent to 45 percent, in the CNN/ORC Poll.

Clinton had a 7-point lead, 49 percent to 42 percent, in the same poll before last week's GOP convention.

In a four-way race with third-party candidates, Trump now has 44 percent support, Clinton receives 39 percent, Libertarian nominee Gary JohnsonGary Earl JohnsonAmash won't rule out Libertarian challenge to Trump Buzz grows Amash will challenge Trump as a Libertarian Potential GOP primary challenger: Trump's 'contempt for the American people' behind possible bid MORE has 9 percent, and the Green Party's Jill Stein receives 3 percent.

Forty-six percent view Trump favorably, pollsters found, up from 39 percent. Forty-three percent say Trump is honest and trustworthy, an increase from 38 percent before the convention in Cleveland. Thirty-nine percent also say they would be proud to have Trump as president, compared with 32 percent who that before the gathering.

Pollsters also found Clinton struggling with perceptions she is dishonest and untrustworthy. Sixty-eight percent of those polled said she is not honest or trustworthy.

The new survey of 1,001 people, conducted July 22-24, has a margin of error of 3.5 percentage points.

Also on Monday, a CBS News poll showed the race tied, with Trump and Clinton each at 42 percent support nationally.

Mark Hensch contributed to this report, which was updated at 7:48 a.m.