The Cowboys improved to 4-5, and are second in the NFC East, 1 1/2 games behind the New York Giants.
The Eagles (3-6) lost Michael Vick to a concussion after consecutive bruising hits in the second quarter and have lost five straight games under coach Andy Reid for the first time in his 14 seasons.
Nick Foles filled in for Vick and briefly rallied the Eagles until the Cowboys started showing some touchdown versatility. Romo hit Dez Bryant on a 30-yard pass on the final play of the third quarter, and Harris and Carr scored their TDs in the fourth quarter.
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