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100+0.6x=90
Combine -x and 1.6x to get 0.6x.
0.6x=90-100
Subtract 100 from both sides.
0.6x=-10
Subtract 100 from 90 to get -10.
x=\frac{-10}{0.6}
Divide both sides by 0.6.
x=\frac{-100}{6}
Expand \frac{-10}{0.6} by multiplying both numerator and the denominator by 10.
x=-\frac{50}{3}
Reduce the fraction \frac{-100}{6} to lowest terms by extracting and canceling out 2.