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Simplifying 24 + -3x = -2 + -5(x + -4) Reorder the terms: 24 + -3x = -2 + -5(-4 + x) 24 + -3x = -2 + (-4 * -5 + x * -5) 24 + -3x = -2 + (20 + -5x) Combine like terms: -2 + 20 = 18 24 + -3x = 18 + -5x Solving 24 + -3x = 18 + -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 + -3x + 5x = 18 + -5x + 5x Combine like terms: -3x + 5x = 2x 24 + 2x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 24 + 2x = 18 + 0 24 + 2x = 18 Add '-24' to each side of the equation. 24 + -24 + 2x = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 18 + -24 2x = 18 + -24 Combine like terms: 18 + -24 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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