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Simplifying -2(2x + -4) = 8(x + -2) Reorder the terms: -2(-4 + 2x) = 8(x + -2) (-4 * -2 + 2x * -2) = 8(x + -2) (8 + -4x) = 8(x + -2) Reorder the terms: 8 + -4x = 8(-2 + x) 8 + -4x = (-2 * 8 + x * 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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