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Simplifying 3(x + 5) = 9x + -24 Reorder the terms: 3(5 + x) = 9x + -24 (5 * 3 + x * 3) = 9x + -24 (15 + 3x) = 9x + -24 Reorder the terms: 15 + 3x = -24 + 9x Solving 15 + 3x = -24 + 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. 15 + 3x + -9x = -24 + 9x + -9x Combine like terms: 3x + -9x = -6x 15 + -6x = -24 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -6x = -24 + 0 15 + -6x = -24 Add '-15' to each side of the equation. 15 + -15 + -6x = -24 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = -24 + -15 -6x = -24 + -15 Combine like terms: -24 + -15 = -39 -6x = -39 Divide each side by '-6'. x = 6.5 Simplifying x = 6.5
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