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Simplifying 6(2x + 4) = -8(2 + x) Reorder the terms: 6(4 + 2x) = -8(2 + x) (4 * 6 + 2x * 6) = -8(2 + x) (24 + 12x) = -8(2 + x) 24 + 12x = (2 * -8 + x * -8) 24 + 12x = (-16 + -8x) Solving 24 + 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. 24 + 12x + 8x = -16 + -8x + 8x Combine like terms: 12x + 8x = 20x 24 + 20x = -16 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + 20x = -16 + 0 24 + 20x = -16 Add '-24' to each side of the equation. 24 + -24 + 20x = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 20x = -16 + -24 20x = -16 + -24 Combine like terms: -16 + -24 = -40 20x = -40 Divide each side by '20'. x = -2 Simplifying x = -2
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