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\frac{9}{11}x+11=29
Swap sides so that all variable terms are on the left hand side.
\frac{9}{11}x=29-11
Subtract 11 from both sides.
\frac{9}{11}x=18
Subtract 11 from 29 to get 18.
x=18\times \frac{11}{9}
Multiply both sides by \frac{11}{9}, the reciprocal of \frac{9}{11}.
x=\frac{18\times 11}{9}
Express 18\times \frac{11}{9} as a single fraction.
x=\frac{198}{9}
Multiply 18 and 11 to get 198.
x=22
Divide 198 by 9 to get 22.