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Simplifying -4x + -24 = -2 + 5(1 + x) Reorder the terms: -24 + -4x = -2 + 5(1 + x) -24 + -4x = -2 + (1 * 5 + x * 5) -24 + -4x = -2 + (5 + 5x) Combine like terms: -2 + 5 = 3 -24 + -4x = 3 + 5x Solving -24 + -4x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + -4x + -5x = 3 + 5x + -5x Combine like terms: -4x + -5x = -9x -24 + -9x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + -9x = 3 + 0 -24 + -9x = 3 Add '24' to each side of the equation. -24 + 24 + -9x = 3 + 24 Combine like terms: -24 + 24 = 0 0 + -9x = 3 + 24 -9x = 3 + 24 Combine like terms: 3 + 24 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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