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\frac{-7x}{x-6}-\frac{8x}{x-6}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6-x and x-6 is x-6. Multiply \frac{7x}{6-x} times \frac{-1}{-1}.
\frac{-7x-8x}{x-6}
Since \frac{-7x}{x-6} and \frac{8x}{x-6} have the same denominator, subtract them by subtracting their numerators.
\frac{-15x}{x-6}
Combine like terms in -7x-8x.