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Simplifying 3(4 + -4x) = -2(4x + 8) (4 * 3 + -4x * 3) = -2(4x + 8) (12 + -12x) = -2(4x + 8) Reorder the terms: 12 + -12x = -2(8 + 4x) 12 + -12x = (8 * -2 + 4x * -2) 12 + -12x = (-16 + -8x) Solving 12 + -12x = -16 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + -12x + 8x = -16 + -8x + 8x Combine like terms: -12x + 8x = -4x 12 + -4x = -16 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + -4x = -16 + 0 12 + -4x = -16 Add '-12' to each side of the equation. 12 + -12 + -4x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -16 + -12 -4x = -16 + -12 Combine like terms: -16 + -12 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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