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x\times 120=150\times 111
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 150x, the least common multiple of 150,x.
x\times 120=16650
Multiply 150 and 111 to get 16650.
x=\frac{16650}{120}
Divide both sides by 120.
x=\frac{555}{4}
Reduce the fraction \frac{16650}{120} to lowest terms by extracting and canceling out 30.