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