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Simplifying 3(8 + 5x) = -9(x + 8) (8 * 3 + 5x * 3) = -9(x + 8) (24 + 15x) = -9(x + 8) Reorder the terms: 24 + 15x = -9(8 + x) 24 + 15x = (8 * -9 + x * -9) 24 + 15x = (-72 + -9x) Solving 24 + 15x = -72 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 24 + 15x + 9x = -72 + -9x + 9x Combine like terms: 15x + 9x = 24x 24 + 24x = -72 + -9x + 9x Combine like terms: -9x + 9x = 0 24 + 24x = -72 + 0 24 + 24x = -72 Add '-24' to each side of the equation. 24 + -24 + 24x = -72 + -24 Combine like terms: 24 + -24 = 0 0 + 24x = -72 + -24 24x = -72 + -24 Combine like terms: -72 + -24 = -96 24x = -96 Divide each side by '24'. x = -4 Simplifying x = -4
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