Bachmann defeated Democrat Patty Wetterling in a hard-fought contest.
Bachmann led an effort at the Legislature for a constitutional ban on gay marriage. But in her congressional campaign she played up traditional Republican themes such as lower taxes and reduced government regulation.
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Wetterling became a national child-safety advocate after her son Jacob was abducted 17 years ago.
Wetterling's House bid came two years after she lost a race for the same seat, that to Republican Representative Mark Kennedy. Kennedy ran this year for the U-S Senate.