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x\times 66=55\times 55
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 55x, the least common multiple of 55,x.
x\times 66=3025
Multiply 55 and 55 to get 3025.
x=\frac{3025}{66}
Divide both sides by 66.
x=\frac{275}{6}
Reduce the fraction \frac{3025}{66} to lowest terms by extracting and canceling out 11.