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Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

Solve 61-4x...

Question

Solve $6 (1 - 4 x) + 7 (2 + 5 x) = 53$ for the value of $x$

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Solution

Given, $6 (1 - 4 x) + 7 (2 + 5 x) = 53$
$\Rightarrow 6 - 24 x + 14 + 35 x = 53$
$\Rightarrow 20 + 11 x = 53$
$\Rightarrow 11 x = 53 - 20$
$\Rightarrow 11 x = 33$
$\Rightarrow x = 3$
Thus, value of $x$ is $3$ .

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