Solve :
$\frac{x + 2}{9} = \frac{x + 4}{11}$

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Solution

$\frac{x + 2}{9} = \frac{x + 4}{11}$
$\Rightarrow \frac{11}{11} \times \frac{(x + 2)}{9} = \frac{(x + 4)}{11} \times \frac{9}{9}$
$\Rightarrow 11 x + 22 = 9 x + 36$
$\Rightarrow 2 x = 36 - 22$
$\Rightarrow 2 x = 14$
$\Rightarrow x = 7$

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