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\frac{4x+6}{x+1}+\frac{x+1}{x+1}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x+1}{x+1}.
\frac{4x+6+x+1}{x+1}
Since \frac{4x+6}{x+1} and \frac{x+1}{x+1} have the same denominator, add them by adding their numerators.
\frac{5x+7}{x+1}
Combine like terms in 4x+6+x+1.
\frac{4x+6}{x+1}+\frac{x+1}{x+1}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x+1}{x+1}.
\frac{4x+6+x+1}{x+1}
Since \frac{4x+6}{x+1} and \frac{x+1}{x+1} have the same denominator, add them by adding their numerators.
\frac{5x+7}{x+1}
Combine like terms in 4x+6+x+1.