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Simplifying -2(4 + -2x) = 8(2 + -1x) (4 * -2 + -2x * -2) = 8(2 + -1x) (-8 + 4x) = 8(2 + -1x) -8 + 4x = (2 * 8 + -1x * 8) -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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