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Simplifying -2(-4x + -8) = 4(5x + -2) Reorder the terms: -2(-8 + -4x) = 4(5x + -2) (-8 * -2 + -4x * -2) = 4(5x + -2) (16 + 8x) = 4(5x + -2) Reorder the terms: 16 + 8x = 4(-2 + 5x) 16 + 8x = (-2 * 4 + 5x * 4) 16 + 8x = (-8 + 20x) Solving 16 + 8x = -8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 16 + 8x + -20x = -8 + 20x + -20x Combine like terms: 8x + -20x = -12x 16 + -12x = -8 + 20x + -20x Combine like terms: 20x + -20x = 0 16 + -12x = -8 + 0 16 + -12x = -8 Add '-16' to each side of the equation. 16 + -16 + -12x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -12x = -8 + -16 -12x = -8 + -16 Combine like terms: -8 + -16 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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