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-1=-\frac{1}{10}+x
Multiply \frac{1}{10} and -1 to get -\frac{1}{10}.
-\frac{1}{10}+x=-1
Swap sides so that all variable terms are on the left hand side.
x=-1+\frac{1}{10}
Add \frac{1}{10} to both sides.
x=-\frac{10}{10}+\frac{1}{10}
Convert -1 to fraction -\frac{10}{10}.
x=\frac{-10+1}{10}
Since -\frac{10}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.
x=-\frac{9}{10}
Add -10 and 1 to get -9.