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