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Simplifying -3(8 + -4x) = 10 + -5x (8 * -3 + -4x * -3) = 10 + -5x (-24 + 12x) = 10 + -5x Solving -24 + 12x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -24 + 12x + 5x = 10 + -5x + 5x Combine like terms: 12x + 5x = 17x -24 + 17x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + 17x = 10 + 0 -24 + 17x = 10 Add '24' to each side of the equation. -24 + 24 + 17x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 17x = 10 + 24 17x = 10 + 24 Combine like terms: 10 + 24 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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