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Simplifying 24 = -3(5x + 3) + 8(x + 5) Reorder the terms: 24 = -3(3 + 5x) + 8(x + 5) 24 = (3 * -3 + 5x * -3) + 8(x + 5) 24 = (-9 + -15x) + 8(x + 5) Reorder the terms: 24 = -9 + -15x + 8(5 + x) 24 = -9 + -15x + (5 * 8 + x * 8) 24 = -9 + -15x + (40 + 8x) Reorder the terms: 24 = -9 + 40 + -15x + 8x Combine like terms: -9 + 40 = 31 24 = 31 + -15x + 8x Combine like terms: -15x + 8x = -7x 24 = 31 + -7x Solving 24 = 31 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 24 + 7x = 31 + -7x + 7x Combine like terms: -7x + 7x = 0 24 + 7x = 31 + 0 24 + 7x = 31 Add '-24' to each side of the equation. 24 + -24 + 7x = 31 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 31 + -24 7x = 31 + -24 Combine like terms: 31 + -24 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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