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x\times 35=100
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=\frac{100}{35}
Divide both sides by 35.
x=\frac{20}{7}
Reduce the fraction \frac{100}{35} to lowest terms by extracting and canceling out 5.