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Simplifying 4(3x + -1) + 6 = 5(2x + -4) Reorder the terms: 4(-1 + 3x) + 6 = 5(2x + -4) (-1 * 4 + 3x * 4) + 6 = 5(2x + -4) (-4 + 12x) + 6 = 5(2x + -4) Reorder the terms: -4 + 6 + 12x = 5(2x + -4) Combine like terms: -4 + 6 = 2 2 + 12x = 5(2x + -4) Reorder the terms: 2 + 12x = 5(-4 + 2x) 2 + 12x = (-4 * 5 + 2x * 5) 2 + 12x = (-20 + 10x) Solving 2 + 12x = -20 + 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. 2 + 12x + -10x = -20 + 10x + -10x Combine like terms: 12x + -10x = 2x 2 + 2x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + 2x = -20 + 0 2 + 2x = -20 Add '-2' to each side of the equation. 2 + -2 + 2x = -20 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -20 + -2 2x = -20 + -2 Combine like terms: -20 + -2 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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