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Simplifying 5x + 24 = -3x + -8(x + -5) Reorder the terms: 24 + 5x = -3x + -8(x + -5) Reorder the terms: 24 + 5x = -3x + -8(-5 + x) 24 + 5x = -3x + (-5 * -8 + x * -8) 24 + 5x = -3x + (40 + -8x) Reorder the terms: 24 + 5x = 40 + -3x + -8x Combine like terms: -3x + -8x = -11x 24 + 5x = 40 + -11x Solving 24 + 5x = 40 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 24 + 5x + 11x = 40 + -11x + 11x Combine like terms: 5x + 11x = 16x 24 + 16x = 40 + -11x + 11x Combine like terms: -11x + 11x = 0 24 + 16x = 40 + 0 24 + 16x = 40 Add '-24' to each side of the equation. 24 + -24 + 16x = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 16x = 40 + -24 16x = 40 + -24 Combine like terms: 40 + -24 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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