| 02 Sep 79 | r01        | Arizona CardinalsArizona Cardi | 21 - 22 | Dallas CowboysDallas Cowboy |
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| 09 Sep 79 | r02        | San Francisco 49ersSan Francisco | 13 - 21 | Dallas CowboysDallas Cowboy |
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| 16 Sep 79 | r03        | Dallas CowboysDallas Cowboy | 24 - 20 | Chicago BearsChicago Bears |
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| 25 Sep 79 | r04        | Cleveland BrownsCleveland Bro | 26 - 7 | Dallas CowboysDallas Cowboy |
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| 30 Sep 79 | r05        | Dallas CowboysDallas Cowboy | 38 - 13 | Cincinnati BengalsCincinnati Be |
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| 07 Oct 79 | r06        | Minnesota VikingsMinnesota Vik | 20 - 36 | Dallas CowboysDallas Cowboy |
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| 15 Oct 79 | r07        | Dallas CowboysDallas Cowboy | 30 - 6 | Los Angeles RamsLos Angeles R |
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| 21 Oct 79 | r08        | Dallas CowboysDallas Cowboy | 22 - 13 | Arizona CardinalsArizona Cardi |
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| 28 Oct 79 | r09        | Pittsburgh SteelersPittsburgh St | 14 - 3 | Dallas CowboysDallas Cowboy |
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| 04 Nov 79 | r10        | New York GiantsNew York Gian | 14 - 16 | Dallas CowboysDallas Cowboy |
| 13 Nov 79 | r10        | Dallas CowboysDallas Cowboy | 21 - 31 | Philadelphia EaglesPhiladelphia |
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| 18 Nov 79 | r12        | Washington CommandersWashington Co | 34 - 20 | Dallas CowboysDallas Cowboy |
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| 22 Nov 79 | r13        | Dallas CowboysDallas Cowboy | 24 - 30 | Tennessee TitansTennessee Tit |
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| 02 Dec 79 | r14        | Dallas CowboysDallas Cowboy | 28 - 7 | New York GiantsNew York Gian |
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| 08 Dec 79 | r15        | Philadelphia EaglesPhiladelphia | 17 - 24 | Dallas CowboysDallas Cowboy |
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| 16 Dec 79 | r16        | Dallas CowboysDallas Cowboy | 35 - 34 | Washington CommandersWashington Co |
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| 30 Dec 79 | QF        | Dallas CowboysDallas Cowboy | 19 - 21 | Los Angeles RamsLos Angeles R |