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100\times 15.75=x\times 225
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.
1575=x\times 225
Multiply 100 and 15.75 to get 1575.
x\times 225=1575
Swap sides so that all variable terms are on the left hand side.
x=\frac{1575}{225}
Divide both sides by 225.
x=7
Divide 1575 by 225 to get 7.