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Simplifying 5(3x + 8) = 24 + -2(x + -8) Reorder the terms: 5(8 + 3x) = 24 + -2(x + -8) (8 * 5 + 3x * 5) = 24 + -2(x + -8) (40 + 15x) = 24 + -2(x + -8) Reorder the terms: 40 + 15x = 24 + -2(-8 + x) 40 + 15x = 24 + (-8 * -2 + x * -2) 40 + 15x = 24 + (16 + -2x) Combine like terms: 24 + 16 = 40 40 + 15x = 40 + -2x Add '-40' to each side of the equation. 40 + -40 + 15x = 40 + -40 + -2x Combine like terms: 40 + -40 = 0 0 + 15x = 40 + -40 + -2x 15x = 40 + -40 + -2x Combine like terms: 40 + -40 = 0 15x = 0 + -2x 15x = -2x Solving 15x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 15x + 2x = -2x + 2x Combine like terms: 15x + 2x = 17x 17x = -2x + 2x Combine like terms: -2x + 2x = 0 17x = 0 Divide each side by '17'. x = 0 Simplifying x = 0
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