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1=0.9x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
0.9x=1
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{0.9}
Divide both sides by 0.9.
x=\frac{10}{9}
Expand \frac{1}{0.9} by multiplying both numerator and the denominator by 10.