AUSTIN, Texas -

Dan Patrick defeated incumbent David Dewhurst in the GOP runoff for Texas Lieutenant Governor -- and Ken Paxton upended Dan Branch in the GOP runoff for Texas Attorney General.

Those were two of the highlights of Tuesday's election.

Patrick, the Republicans' newly chosen nominee for lieutenant governor, said he'll campaign for votes in Democratic strongholds as he battles Democrat Leticia Van de Putte in November's election.

Patrick said his campaign will venture into Hispanic and African American neighborhoods in search of conservative support and contest Democrats for votes.

Here are election results from some of the biggest races:

Lieutenant Governor GOP - Runoff

8,252 of 8,297 precincts - 99 percent

x-Dan Patrick, GOP 487,220 - 65 percent

David Dewhurst, GOP (i) 261,807 - 35 percent

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Attorney General GOP - Runoff

8,252 of 8,297 precincts - 99 percent

x-Ken Paxton, GOP 465,755 - 64 percent

Dan Branch, GOP 266,228 - 36 percent

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U.S. Senate Dem - Runoff

8,218 of 8,268 precincts - 99 percent

x-David Alameel, Dem 142,460 - 72 percent

Kesha Rogers, Dem 54,644 - 28 percent

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U.S. House District 4 GOP - Runoff

208 of 208 precincts - 100 percent

x-John Ratcliffe, GOP 22,257 - 53 percent

Ralph Hall, GOP (i) 19,882 - 47 percent

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