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-\frac{1}{200}x=-\frac{9}{40}
Subtract \frac{9}{40} from both sides. Anything subtracted from zero gives its negation.
x=-\frac{9}{40}\left(-200\right)
Multiply both sides by -200, the reciprocal of -\frac{1}{200}.
x=\frac{-9\left(-200\right)}{40}
Express -\frac{9}{40}\left(-200\right) as a single fraction.
x=\frac{1800}{40}
Multiply -9 and -200 to get 1800.
x=45
Divide 1800 by 40 to get 45.