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Simplifying 2(3x + 4) + 3(x + 5) = 0 Reorder the terms: 2(4 + 3x) + 3(x + 5) = 0 (4 * 2 + 3x * 2) + 3(x + 5) = 0 (8 + 6x) + 3(x + 5) = 0 Reorder the terms: 8 + 6x + 3(5 + x) = 0 8 + 6x + (5 * 3 + x * 3) = 0 8 + 6x + (15 + 3x) = 0 Reorder the terms: 8 + 15 + 6x + 3x = 0 Combine like terms: 8 + 15 = 23 23 + 6x + 3x = 0 Combine like terms: 6x + 3x = 9x 23 + 9x = 0 Solving 23 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 9x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 9x = 0 + -23 9x = 0 + -23 Combine like terms: 0 + -23 = -23 9x = -23 Divide each side by '9'. x = -2.555555556 Simplifying x = -2.555555556
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