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6+\frac{3}{4}x-\frac{1}{2}x=-4
Subtract \frac{1}{2}x from both sides.
6+\frac{1}{4}x=-4
Combine \frac{3}{4}x and -\frac{1}{2}x to get \frac{1}{4}x.
\frac{1}{4}x=-4-6
Subtract 6 from both sides.
\frac{1}{4}x=-10
Subtract 6 from -4 to get -10.
x=-10\times 4
Multiply both sides by 4, the reciprocal of \frac{1}{4}.
x=-40
Multiply -10 and 4 to get -40.