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