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