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-\frac{1}{4}x>-6+12
Add 12 to both sides.
-\frac{1}{4}x>6
Add -6 and 12 to get 6.
x<6\left(-4\right)
Multiply both sides by -4, the reciprocal of -\frac{1}{4}. Since -\frac{1}{4} is negative, the inequality direction is changed.
x<-24
Multiply 6 and -4 to get -24.