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x\times 140=100\times 175.5
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100x, the least common multiple of 100,x.
x\times 140=17550
Multiply 100 and 175.5 to get 17550.
x=\frac{17550}{140}
Divide both sides by 140.
x=\frac{1755}{14}
Reduce the fraction \frac{17550}{140} to lowest terms by extracting and canceling out 10.