The real legislative battle, for partisan control of the state House, is expected to begin in earnest now, ahead of the Nov. 3 general election. The state Republican Party is pushing to increase its hold on the House to a supermajority. The state Democratic Party is trying to take back the House majority it lost in 2011. Republicans in the House currently hold a 67-55 majority. A three-fifths majority, which would allow the GOP to control most taxing and spending legislation, would require 74. Republicans are starting with an effective majority of 69.