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100\times 16=x\times 34
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.
1600=x\times 34
Multiply 100 and 16 to get 1600.
x\times 34=1600
Swap sides so that all variable terms are on the left hand side.
x=\frac{1600}{34}
Divide both sides by 34.
x=\frac{800}{17}
Reduce the fraction \frac{1600}{34} to lowest terms by extracting and canceling out 2.