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16x=55\times 6
Multiply both sides of the equation by 880, the least common multiple of 55,16.
16x=330
Multiply 55 and 6 to get 330.
x=\frac{330}{16}
Divide both sides by 16.
x=\frac{165}{8}
Reduce the fraction \frac{330}{16} to lowest terms by extracting and canceling out 2.