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Simplifying -2(2 + -2x) + -4(X + 5) = 24 (2 * -2 + -2x * -2) + -4(X + 5) = 24 (-4 + 4x) + -4(X + 5) = 24 Reorder the terms: -4 + 4x + -4(5 + X) = 24 -4 + 4x + (5 * -4 + X * -4) = 24 -4 + 4x + (-20 + -4X) = 24 Reorder the terms: -4 + -20 + -4X + 4x = 24 Combine like terms: -4 + -20 = -24 -24 + -4X + 4x = 24 Solving -24 + -4X + 4x = 24 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -4X + 24 + 4x = 24 + 24 Reorder the terms: -24 + 24 + -4X + 4x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -4X + 4x = 24 + 24 -4X + 4x = 24 + 24 Combine like terms: 24 + 24 = 48 -4X + 4x = 48 Add '-4x' to each side of the equation. -4X + 4x + -4x = 48 + -4x Combine like terms: 4x + -4x = 0 -4X + 0 = 48 + -4x -4X = 48 + -4x Divide each side by '-4'. X = -12 + x Simplifying X = -12 + x
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