Solve: $x (x + 5) = x^{2} + x + 32$

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Solution

$x (x + 5) = x^{2} + x + 32$
$\Rightarrow x^{2} + 5 x = x^{2} + x + 32$
$\Rightarrow 5 x - x = 32$
$\Rightarrow 4 x = 32$
$\Rightarrow x = \frac{32}{4} = 8$

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