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200x+1280-160x=1380
Use the distributive property to multiply 160 by 8-x.
40x+1280=1380
Combine 200x and -160x to get 40x.
40x=1380-1280
Subtract 1280 from both sides.
40x=100
Subtract 1280 from 1380 to get 100.
x=\frac{100}{40}
Divide both sides by 40.
x=\frac{5}{2}
Reduce the fraction \frac{100}{40} to lowest terms by extracting and canceling out 20.