The correct option is A 7 4x+9 7x+59x+9=7(x+9)+59 7· 9x+9 =7(x+9) 4x+9=7(x+9)x+9 4x+9 =7 4x+9 ...

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Rational Expression

Simplify 7x...

Question

Simplify $\frac{7 x + 59}{x + 9}$ .

7 - \frac{4}{x + 9}

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7 - \frac{67}{x + 9}

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7 - \frac{4}{9}

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\frac{7 - 4}{9}

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Solution

The correct option is A $7 - \frac{4}{x + 9}$
$\frac{7 x + 59}{x + 9} = \frac{7 (x + 9) + 59 - 7 \cdot 9}{x + 9}$
$= \frac{7 (x + 9) - 4}{x + 9} = \frac{7 (x + 9)}{x + 9} - \frac{4}{x + 9}$
$= 7 - \frac{4}{x + 9}$

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