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\frac{1}{1000}x=0.1
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x=0.1\times 1000
Multiply both sides by 1000, the reciprocal of \frac{1}{1000}.
x=100
Multiply 0.1 and 1000 to get 100.