Solve:
3(5x − 7) − 2(9x − 11) = 4(8x − 13) − 17

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Solution

$3 (5 x - 7) - 2 (9 x - 11) = 4 (8 x - 13) - 17 \Rightarrow 15 x - 21 - 18 x + 22 = 32 x - 52 - 17 \Rightarrow 15 x - 18 x - 21 + 22 = 32 x - 69 \Rightarrow - 3 x + 1 = 32 x - 69 \Rightarrow 1 + 69 = 32 x + 3 x \Rightarrow 70 = 35 x \Rightarrow 35 x = 70 (b y transposition) \Rightarrow x = \frac{70}{35} = 2 ∴ x = 2$

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$3 (5 x - 7) - 2 (9 x - 11) = 4 (8 x - \frac{1}{3}) - 17$

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