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67=\frac{11}{10}x
Combine x and \frac{1}{10}x to get \frac{11}{10}x.
\frac{11}{10}x=67
Swap sides so that all variable terms are on the left hand side.
x=67\times \frac{10}{11}
Multiply both sides by \frac{10}{11}, the reciprocal of \frac{11}{10}.
x=\frac{67\times 10}{11}
Express 67\times \frac{10}{11} as a single fraction.
x=\frac{670}{11}
Multiply 67 and 10 to get 670.