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-\frac{4}{3}x=-100
Subtract 100 from both sides. Anything subtracted from zero gives its negation.
x=-100\left(-\frac{3}{4}\right)
Multiply both sides by -\frac{3}{4}, the reciprocal of -\frac{4}{3}.
x=\frac{-100\left(-3\right)}{4}
Express -100\left(-\frac{3}{4}\right) as a single fraction.
x=\frac{300}{4}
Multiply -100 and -3 to get 300.
x=75
Divide 300 by 4 to get 75.