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\frac{3}{2}x=3x
Combine x and \frac{1}{2}x to get \frac{3}{2}x.
\frac{3}{2}x-3x=0
Subtract 3x from both sides.
-\frac{3}{2}x=0
Combine \frac{3}{2}x and -3x to get -\frac{3}{2}x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -\frac{3}{2} is not equal to 0, x must be equal to 0.