#### Answer

$x=-1$ or $x=-7$.

#### Work Step by Step

LCD$=x$, thus multiplying both sides by the LCD: $x(x+\frac{7}{x})=x(-8)\\x^2+8x+7=0\\x^2+x+7x+7=0\\x(x+1)+7(x+1)=0\\(x+1)(x+7)=0$
Thus $x=-1$ or $x=-7$.

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Published by
Pearson

ISBN 10:
0-13417-894-7

ISBN 13:
978-0-13417-894-3

$x=-1$ or $x=-7$.

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