Solve the following question :

$6 (6 x - 5) - 5 (7 x - 8) = 12 (4 - x) + 1$

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Solution

$6 (6 x - 5) - 5 (7 x - 8) = 12 (4 - x) + 1 36 x - 30 - 35 x + 40 = 48 - 12 x + 1 \Rightarrow x + 12 x = 49 - 10 \Rightarrow 13 x = 39 \Rightarrow x = \frac{19}{13} \Rightarrow x = 3$

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