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Simplifying 6(x + 4) + 3(x + 5) = 0 Reorder the terms: 6(4 + x) + 3(x + 5) = 0 (4 * 6 + x * 6) + 3(x + 5) = 0 (24 + 6x) + 3(x + 5) = 0 Reorder the terms: 24 + 6x + 3(5 + x) = 0 24 + 6x + (5 * 3 + x * 3) = 0 24 + 6x + (15 + 3x) = 0 Reorder the terms: 24 + 15 + 6x + 3x = 0 Combine like terms: 24 + 15 = 39 39 + 6x + 3x = 0 Combine like terms: 6x + 3x = 9x 39 + 9x = 0 Solving 39 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 9x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 9x = 0 + -39 9x = 0 + -39 Combine like terms: 0 + -39 = -39 9x = -39 Divide each side by '9'. x = -4.333333333 Simplifying x = -4.333333333
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