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Simplifying 24 = 3(x + -2) + 2(x + -5) Reorder the terms: 24 = 3(-2 + x) + 2(x + -5) 24 = (-2 * 3 + x * 3) + 2(x + -5) 24 = (-6 + 3x) + 2(x + -5) Reorder the terms: 24 = -6 + 3x + 2(-5 + x) 24 = -6 + 3x + (-5 * 2 + x * 2) 24 = -6 + 3x + (-10 + 2x) Reorder the terms: 24 = -6 + -10 + 3x + 2x Combine like terms: -6 + -10 = -16 24 = -16 + 3x + 2x Combine like terms: 3x + 2x = 5x 24 = -16 + 5x Solving 24 = -16 + 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 + -5x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -5x = -16 + 0 24 + -5x = -16 Add '-24' to each side of the equation. 24 + -24 + -5x = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = -16 + -24 -5x = -16 + -24 Combine like terms: -16 + -24 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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