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2x+\frac{3}{2}x=7
Add \frac{3}{2}x to both sides.
\frac{7}{2}x=7
Combine 2x and \frac{3}{2}x to get \frac{7}{2}x.
x=7\times \frac{2}{7}
Multiply both sides by \frac{2}{7}, the reciprocal of \frac{7}{2}.
x=2
Cancel out 7 and 7.