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Simplifying -2(2 + 2x) + -1(x + 5) = -24 (2 * -2 + 2x * -2) + -1(x + 5) = -24 (-4 + -4x) + -1(x + 5) = -24 Reorder the terms: -4 + -4x + -1(5 + x) = -24 -4 + -4x + (5 * -1 + x * -1) = -24 -4 + -4x + (-5 + -1x) = -24 Reorder the terms: -4 + -5 + -4x + -1x = -24 Combine like terms: -4 + -5 = -9 -9 + -4x + -1x = -24 Combine like terms: -4x + -1x = -5x -9 + -5x = -24 Solving -9 + -5x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5x = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = -24 + 9 -5x = -24 + 9 Combine like terms: -24 + 9 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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