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Biden holds 1-point lead over Trump in new Texas poll

Democratic presidential nominee Joe BidenJoe BidenTrump alludes to possible 2024 run in White House remarks Tiger King's attorney believes they're close to getting pardon from Trump Cruz urges Supreme Court to take up Pennsylvania election challenge MORE holds a narrow lead over President TrumpDonald John TrumpTrump alludes to possible 2024 run in White House remarks Trump threatens to veto defense bill over tech liability shield Tiger King's attorney believes they're close to getting pardon from Trump MORE in the traditionally red state of Texas following last week's Democratic National Convention, according to a new poll from the left-leaning firm Public Policy Polling. 

Forty-eight percent of voters contacted in the state after the convention said they would vote for Biden, while 47 percent said they would back Trump on the presidential ballot, according to the poll, which was released first to the USA Today Network. 

The lead is within the poll's 3.6 percentage point margin of error.

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Additionally, the survey showed that 7 percent of Texas voters who backed Trump in 2016 now support Biden, while 3 percent of those who came out for 2016 Democratic nominee Hillary ClintonHillary Diane Rodham ClintonTrump has discussed possible pardons for three eldest children, Kushner: report McCaskill: 'Hypocrisy' for GOP to target Biden nominee's tweets after Trump Biden budget pick sparks battle with GOP Senate MORE now support the president. 

The findings come as Democrats increasingly set their sights on Texas ahead of November, with a number of polls showing the state could be in play for the party. 

A poll from Quinnipiac University released last month also showed Biden leading Trump by 1 percentage point, 45 percent to 44 percent.

The RealClearPolitics polling average shows Trump leading Biden by 3.5 percentage points in Texas. 

Trump is set to appear multiple times at the Republican National Convention this week after Biden took the stage at the Democratic National Convention last week. 

The president and Republicans could see their own bump in the polls next week, which typically happens following major party conventions. 

The Public Policy Polling survey was conducted on Aug. 28 and Aug. 29 among 764 registered voters. The margin of error is plus or minus 3.6 percentage points.