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Simplifying 2(x + 6) + 5(2x + 3) = 0 Reorder the terms: 2(6 + x) + 5(2x + 3) = 0 (6 * 2 + x * 2) + 5(2x + 3) = 0 (12 + 2x) + 5(2x + 3) = 0 Reorder the terms: 12 + 2x + 5(3 + 2x) = 0 12 + 2x + (3 * 5 + 2x * 5) = 0 12 + 2x + (15 + 10x) = 0 Reorder the terms: 12 + 15 + 2x + 10x = 0 Combine like terms: 12 + 15 = 27 27 + 2x + 10x = 0 Combine like terms: 2x + 10x = 12x 27 + 12x = 0 Solving 27 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 12x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 12x = 0 + -27 12x = 0 + -27 Combine like terms: 0 + -27 = -27 12x = -27 Divide each side by '12'. x = -2.25 Simplifying x = -2.25
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