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x\times 38=16\times 100\times 100
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 16x, the least common multiple of 16,x.
x\times 38=1600\times 100
Multiply 16 and 100 to get 1600.
x\times 38=160000
Multiply 1600 and 100 to get 160000.
x=\frac{160000}{38}
Divide both sides by 38.
x=\frac{80000}{19}
Reduce the fraction \frac{160000}{38} to lowest terms by extracting and canceling out 2.