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\frac{4}{7}x=11+1
Add 1 to both sides.
\frac{4}{7}x=12
Add 11 and 1 to get 12.
x=12\times \frac{7}{4}
Multiply both sides by \frac{7}{4}, the reciprocal of \frac{4}{7}.
x=\frac{12\times 7}{4}
Express 12\times \frac{7}{4} as a single fraction.
x=\frac{84}{4}
Multiply 12 and 7 to get 84.
x=21
Divide 84 by 4 to get 21.