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3\times 55=11x
Multiply both sides of the equation by 33, the least common multiple of 11,3.
165=11x
Multiply 3 and 55 to get 165.
11x=165
Swap sides so that all variable terms are on the left hand side.
x=\frac{165}{11}
Divide both sides by 11.
x=15
Divide 165 by 11 to get 15.