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