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x+7=\frac{1}{4}\times 8
Multiply both sides by 8, the reciprocal of \frac{1}{8}.
x+7=\frac{8}{4}
Multiply \frac{1}{4} and 8 to get \frac{8}{4}.
x+7=2
Divide 8 by 4 to get 2.
x=2-7
Subtract 7 from both sides.
x=-5
Subtract 7 from 2 to get -5.