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Simplifying -3(4x + -1) = 5(2x + -1) + 8 Reorder the terms: -3(-1 + 4x) = 5(2x + -1) + 8 (-1 * -3 + 4x * -3) = 5(2x + -1) + 8 (3 + -12x) = 5(2x + -1) + 8 Reorder the terms: 3 + -12x = 5(-1 + 2x) + 8 3 + -12x = (-1 * 5 + 2x * 5) + 8 3 + -12x = (-5 + 10x) + 8 Reorder the terms: 3 + -12x = -5 + 8 + 10x Combine like terms: -5 + 8 = 3 3 + -12x = 3 + 10x Add '-3' to each side of the equation. 3 + -3 + -12x = 3 + -3 + 10x Combine like terms: 3 + -3 = 0 0 + -12x = 3 + -3 + 10x -12x = 3 + -3 + 10x Combine like terms: 3 + -3 = 0 -12x = 0 + 10x -12x = 10x Solving -12x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12x + -10x = 10x + -10x Combine like terms: -12x + -10x = -22x -22x = 10x + -10x Combine like terms: 10x + -10x = 0 -22x = 0 Divide each side by '-22'. x = 0 Simplifying x = 0
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