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Simplifying 8(4x + -1) + -12x = 2(11x + -3) Reorder the terms: 8(-1 + 4x) + -12x = 2(11x + -3) (-1 * 8 + 4x * 8) + -12x = 2(11x + -3) (-8 + 32x) + -12x = 2(11x + -3) Combine like terms: 32x + -12x = 20x -8 + 20x = 2(11x + -3) Reorder the terms: -8 + 20x = 2(-3 + 11x) -8 + 20x = (-3 * 2 + 11x * 2) -8 + 20x = (-6 + 22x) Solving -8 + 20x = -6 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -8 + 20x + -22x = -6 + 22x + -22x Combine like terms: 20x + -22x = -2x -8 + -2x = -6 + 22x + -22x Combine like terms: 22x + -22x = 0 -8 + -2x = -6 + 0 -8 + -2x = -6 Add '8' to each side of the equation. -8 + 8 + -2x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -6 + 8 -2x = -6 + 8 Combine like terms: -6 + 8 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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