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0.6=1000x
Multiply 0.1 and 6 to get 0.6.
1000x=0.6
Swap sides so that all variable terms are on the left hand side.
x=\frac{0.6}{1000}
Divide both sides by 1000.
x=\frac{6}{10000}
Expand \frac{0.6}{1000} by multiplying both numerator and the denominator by 10.
x=\frac{3}{5000}
Reduce the fraction \frac{6}{10000} to lowest terms by extracting and canceling out 2.