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9-43.

Simplify and add $\frac { x - 4 } { x + 2 } + \frac { 4 x + 12 } { x ^ { 2 } + 5 x + 6 }$ . Justify each step.

Hint:

Explain each step.

Step 1:

$\frac{x-4}{x+2} +\frac{4(x + 3)}{(x+2)(x+3)}$

Step 2:

$\frac{x-4}{x+2} +\frac{4}{x+2}$

Step 3:

$\frac{x-4+4}{x+2}$

Step 4:

$\frac{x}{x+2}$

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