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\frac{2x-7}{4-3x}+1
Divide 1 by 1 to get 1.
\frac{2x-7}{4-3x}+\frac{4-3x}{4-3x}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{4-3x}{4-3x}.
\frac{2x-7+4-3x}{4-3x}
Since \frac{2x-7}{4-3x} and \frac{4-3x}{4-3x} have the same denominator, add them by adding their numerators.
\frac{-x-3}{4-3x}
Combine like terms in 2x-7+4-3x.
\frac{2x-7}{4-3x}+1
Divide 1 by 1 to get 1.
\frac{2x-7}{4-3x}+\frac{4-3x}{4-3x}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{4-3x}{4-3x}.
\frac{2x-7+4-3x}{4-3x}
Since \frac{2x-7}{4-3x} and \frac{4-3x}{4-3x} have the same denominator, add them by adding their numerators.
\frac{-x-3}{4-3x}
Combine like terms in 2x-7+4-3x.