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1=-\frac{1}{4}x
Anything divided by one gives itself.
-\frac{1}{4}x=1
Swap sides so that all variable terms are on the left hand side.
x=1\left(-4\right)
Multiply both sides by -4, the reciprocal of -\frac{1}{4}.
x=-4
Multiply 1 and -4 to get -4.