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