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12x=11\times 2
Multiply both sides of the equation by 132, the least common multiple of 11,12.
12x=22
Multiply 11 and 2 to get 22.
x=\frac{22}{12}
Divide both sides by 12.
x=\frac{11}{6}
Reduce the fraction \frac{22}{12} to lowest terms by extracting and canceling out 2.