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\frac{6}{5}x=3\times 3+1
Multiply both sides of the equation by 3.
\frac{6}{5}x=9+1
Multiply 3 and 3 to get 9.
\frac{6}{5}x=10
Add 9 and 1 to get 10.
x=10\times \frac{5}{6}
Multiply both sides by \frac{5}{6}, the reciprocal of \frac{6}{5}.
x=\frac{10\times 5}{6}
Express 10\times \frac{5}{6} as a single fraction.
x=\frac{50}{6}
Multiply 10 and 5 to get 50.
x=\frac{25}{3}
Reduce the fraction \frac{50}{6} to lowest terms by extracting and canceling out 2.