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Simplifying 3(x + 2) + 4(x + 3) = 0 Reorder the terms: 3(2 + x) + 4(x + 3) = 0 (2 * 3 + x * 3) + 4(x + 3) = 0 (6 + 3x) + 4(x + 3) = 0 Reorder the terms: 6 + 3x + 4(3 + x) = 0 6 + 3x + (3 * 4 + x * 4) = 0 6 + 3x + (12 + 4x) = 0 Reorder the terms: 6 + 12 + 3x + 4x = 0 Combine like terms: 6 + 12 = 18 18 + 3x + 4x = 0 Combine like terms: 3x + 4x = 7x 18 + 7x = 0 Solving 18 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 7x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 0 + -18 7x = 0 + -18 Combine like terms: 0 + -18 = -18 7x = -18 Divide each side by '7'. x = -2.571428571 Simplifying x = -2.571428571
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