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\frac{5x+3+2x+7}{x-3}
Since \frac{5x+3}{x-3} and \frac{2x+7}{x-3} have the same denominator, add them by adding their numerators.
\frac{7x+10}{x-3}
Combine like terms in 5x+3+2x+7.
\frac{5x+3+2x+7}{x-3}
Since \frac{5x+3}{x-3} and \frac{2x+7}{x-3} have the same denominator, add them by adding their numerators.
\frac{7x+10}{x-3}
Combine like terms in 5x+3+2x+7.