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\frac{1}{4}x=-\frac{1}{2}
Subtract \frac{1}{2} from both sides. Anything subtracted from zero gives its negation.
x=-\frac{1}{2}\times 4
Multiply both sides by 4, the reciprocal of \frac{1}{4}.
x=\frac{-4}{2}
Express -\frac{1}{2}\times 4 as a single fraction.
x=-2
Divide -4 by 2 to get -2.