Solve for $x$ .
$5^{x + 1}$ + $5^{1 - x}$ = 26

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Solution

$5^{x + 1} + 5^{1 - x} = 26$

$5^{x + 1} + 5^{1 - x} = 5^{2} + 5^{0}$

Therefore,

$x + 1 = 2$ and $1 - x = 0$

Hence, $x = 1$ .

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