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3800x+5200-5200x=4000
Use the distributive property to multiply 5200 by 1-x.
-1400x+5200=4000
Combine 3800x and -5200x to get -1400x.
-1400x=4000-5200
Subtract 5200 from both sides.
-1400x=-1200
Subtract 5200 from 4000 to get -1200.
x=\frac{-1200}{-1400}
Divide both sides by -1400.
x=\frac{6}{7}
Reduce the fraction \frac{-1200}{-1400} to lowest terms by extracting and canceling out -200.