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100\times 11.25=x\times 125
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 x,100.
1125=x\times 125
Multiply 100 and 11.25 to get 1125.
x\times 125=1125
Swap sides so that all variable terms are on the left hand side.
x=\frac{1125}{125}
Divide both sides by 125.
x=9
Divide 1125 by 125 to get 9.