The hosts were first to register on the scoreboard, doing so midway through the opening quarter when Billy Cundiff successfully kicked a 35-yard field goal.
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The Bears took until the start of the second quarter to respond, with Robbie Gould slotting over a 23-yard field goal to draw things level once again.
A mistake from returning quarterback Jay Cutler allowed the Browns to regain the lead as he missed his target with a pass, giving Tashaun Gipson the chance to intercept and return it 44 yards for a touchdown.
Cutler atoned for his error at the end of the half, however, finding Brandon Marshall at the front of the endzone with a five-yard pass to restore parity.