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Simplifying -24 = -4(1 + x) + 4(1 + -2x) -24 = (1 * -4 + x * -4) + 4(1 + -2x) -24 = (-4 + -4x) + 4(1 + -2x) -24 = -4 + -4x + (1 * 4 + -2x * 4) -24 = -4 + -4x + (4 + -8x) Reorder the terms: -24 = -4 + 4 + -4x + -8x Combine like terms: -4 + 4 = 0 -24 = 0 + -4x + -8x -24 = -4x + -8x Combine like terms: -4x + -8x = -12x -24 = -12x Solving -24 = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -24 + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 -24 + 12x = 0 Add '24' to each side of the equation. -24 + 24 + 12x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = 0 + 24 12x = 0 + 24 Combine like terms: 0 + 24 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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