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\frac{1}{4}x+\frac{1}{2}x=3
Add \frac{1}{2}x to both sides.
\frac{3}{4}x=3
Combine \frac{1}{4}x and \frac{1}{2}x to get \frac{3}{4}x.
x=3\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
x=4
Cancel out 3 and 3.