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\frac{3}{7}\times 3=x+1
Multiply both sides by 3.
\frac{3\times 3}{7}=x+1
Express \frac{3}{7}\times 3 as a single fraction.
\frac{9}{7}=x+1
Multiply 3 and 3 to get 9.
x+1=\frac{9}{7}
Swap sides so that all variable terms are on the left hand side.
x=\frac{9}{7}-1
Subtract 1 from both sides.
x=\frac{9}{7}-\frac{7}{7}
Convert 1 to fraction \frac{7}{7}.
x=\frac{9-7}{7}
Since \frac{9}{7} and \frac{7}{7} have the same denominator, subtract them by subtracting their numerators.
x=\frac{2}{7}
Subtract 7 from 9 to get 2.