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Simplifying 3(2x + 3) + 5(2x + 4) = 0 Reorder the terms: 3(3 + 2x) + 5(2x + 4) = 0 (3 * 3 + 2x * 3) + 5(2x + 4) = 0 (9 + 6x) + 5(2x + 4) = 0 Reorder the terms: 9 + 6x + 5(4 + 2x) = 0 9 + 6x + (4 * 5 + 2x * 5) = 0 9 + 6x + (20 + 10x) = 0 Reorder the terms: 9 + 20 + 6x + 10x = 0 Combine like terms: 9 + 20 = 29 29 + 6x + 10x = 0 Combine like terms: 6x + 10x = 16x 29 + 16x = 0 Solving 29 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 16x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 16x = 0 + -29 16x = 0 + -29 Combine like terms: 0 + -29 = -29 16x = -29 Divide each side by '16'. x = -1.8125 Simplifying x = -1.8125
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