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Simplifying -4(3x + -1) = 2(5x + -1) + 6 Reorder the terms: -4(-1 + 3x) = 2(5x + -1) + 6 (-1 * -4 + 3x * -4) = 2(5x + -1) + 6 (4 + -12x) = 2(5x + -1) + 6 Reorder the terms: 4 + -12x = 2(-1 + 5x) + 6 4 + -12x = (-1 * 2 + 5x * 2) + 6 4 + -12x = (-2 + 10x) + 6 Reorder the terms: 4 + -12x = -2 + 6 + 10x Combine like terms: -2 + 6 = 4 4 + -12x = 4 + 10x Add '-4' to each side of the equation. 4 + -4 + -12x = 4 + -4 + 10x Combine like terms: 4 + -4 = 0 0 + -12x = 4 + -4 + 10x -12x = 4 + -4 + 10x Combine like terms: 4 + -4 = 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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