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Simplifying -3(-8x + 8) + -12x = 8(2x + -1) Reorder the terms: -3(8 + -8x) + -12x = 8(2x + -1) (8 * -3 + -8x * -3) + -12x = 8(2x + -1) (-24 + 24x) + -12x = 8(2x + -1) Combine like terms: 24x + -12x = 12x -24 + 12x = 8(2x + -1) Reorder the terms: -24 + 12x = 8(-1 + 2x) -24 + 12x = (-1 * 8 + 2x * 8) -24 + 12x = (-8 + 16x) Solving -24 + 12x = -8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -24 + 12x + -16x = -8 + 16x + -16x Combine like terms: 12x + -16x = -4x -24 + -4x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 -24 + -4x = -8 + 0 -24 + -4x = -8 Add '24' to each side of the equation. -24 + 24 + -4x = -8 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = -8 + 24 -4x = -8 + 24 Combine like terms: -8 + 24 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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