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\frac{1}{6}x-4-\frac{1}{4}x=-3
Subtract \frac{1}{4}x from both sides.
-\frac{1}{12}x-4=-3
Combine \frac{1}{6}x and -\frac{1}{4}x to get -\frac{1}{12}x.
-\frac{1}{12}x=-3+4
Add 4 to both sides.
-\frac{1}{12}x=1
Add -3 and 4 to get 1.
x=1\left(-12\right)
Multiply both sides by -12, the reciprocal of -\frac{1}{12}.
x=-12
Multiply 1 and -12 to get -12.