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200-2x+1.4x=180
Use the distributive property to multiply 100-x by 2.
200-0.6x=180
Combine -2x and 1.4x to get -0.6x.
-0.6x=180-200
Subtract 200 from both sides.
-0.6x=-20
Subtract 200 from 180 to get -20.
x=\frac{-20}{-0.6}
Divide both sides by -0.6.
x=\frac{-200}{-6}
Expand \frac{-20}{-0.6} by multiplying both numerator and the denominator by 10.
x=\frac{100}{3}
Reduce the fraction \frac{-200}{-6} to lowest terms by extracting and canceling out -2.