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\frac{7}{12}x=7
Combine \frac{1}{3}x and \frac{1}{4}x to get \frac{7}{12}x.
x=7\times \frac{12}{7}
Multiply both sides by \frac{12}{7}, the reciprocal of \frac{7}{12}.
x=12
Cancel out 7 and 7.