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Simplifying 2(x + 4) = -4(x + 8) Reorder the terms: 2(4 + x) = -4(x + 8) (4 * 2 + x * 2) = -4(x + 8) (8 + 2x) = -4(x + 8) Reorder the terms: 8 + 2x = -4(8 + x) 8 + 2x = (8 * -4 + x * -4) 8 + 2x = (-32 + -4x) Solving 8 + 2x = -32 + -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 = -32 + -4x + 4x Combine like terms: 2x + 4x = 6x 8 + 6x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 6x = -32 + 0 8 + 6x = -32 Add '-8' to each side of the equation. 8 + -8 + 6x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = -32 + -8 6x = -32 + -8 Combine like terms: -32 + -8 = -40 6x = -40 Divide each side by '6'. x = -6.666666667 Simplifying x = -6.666666667
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