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\frac{9}{0.9}=x
Divide both sides by 0.9.
\frac{90}{9}=x
Expand \frac{9}{0.9} by multiplying both numerator and the denominator by 10.
10=x
Divide 90 by 9 to get 10.
x=10
Swap sides so that all variable terms are on the left hand side.