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3\times 9x=0.9\times 3
Multiply both sides by 3.
9x=0.9
Cancel out 3 on both sides.
x=\frac{0.9}{9}
Divide both sides by 9.
x=\frac{9}{90}
Expand \frac{0.9}{9} by multiplying both numerator and the denominator by 10.
x=\frac{1}{10}
Reduce the fraction \frac{9}{90} to lowest terms by extracting and canceling out 9.