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x+\frac{-49}{x}
Anything divided by one gives itself.
\frac{xx}{x}+\frac{-49}{x}
To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{x}{x}.
\frac{xx-49}{x}
Since \frac{xx}{x} and \frac{-49}{x} have the same denominator, add them by adding their numerators.
\frac{x^{2}-49}{x}
Do the multiplications in xx-49.