Answer
$\frac{x-2}{x-10}$
Work Step by Step
$\frac{1}{10-x}+\frac{x-1}{x-10}=\frac{-1}{x-10}+\frac{x-1}{x-10}=\frac{-1+x-1}{x-10}=\frac{x-2}{x-10}$
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