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11\times 55=5x
Multiply both sides of the equation by 1375, the least common multiple of 125,275.
605=5x
Multiply 11 and 55 to get 605.
5x=605
Swap sides so that all variable terms are on the left hand side.
x=\frac{605}{5}
Divide both sides by 5.
x=121
Divide 605 by 5 to get 121.