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\frac{5\times 55}{22}=3x
Express \frac{5}{22}\times 55 as a single fraction.
\frac{275}{22}=3x
Multiply 5 and 55 to get 275.
\frac{25}{2}=3x
Reduce the fraction \frac{275}{22} to lowest terms by extracting and canceling out 11.
3x=\frac{25}{2}
Swap sides so that all variable terms are on the left hand side.
x=\frac{\frac{25}{2}}{3}
Divide both sides by 3.
x=\frac{25}{2\times 3}
Express \frac{\frac{25}{2}}{3} as a single fraction.
x=\frac{25}{6}
Multiply 2 and 3 to get 6.