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Simplifying 3(4x + 2) + 4(2x + 3) = 0 Reorder the terms: 3(2 + 4x) + 4(2x + 3) = 0 (2 * 3 + 4x * 3) + 4(2x + 3) = 0 (6 + 12x) + 4(2x + 3) = 0 Reorder the terms: 6 + 12x + 4(3 + 2x) = 0 6 + 12x + (3 * 4 + 2x * 4) = 0 6 + 12x + (12 + 8x) = 0 Reorder the terms: 6 + 12 + 12x + 8x = 0 Combine like terms: 6 + 12 = 18 18 + 12x + 8x = 0 Combine like terms: 12x + 8x = 20x 18 + 20x = 0 Solving 18 + 20x = 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 + 20x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 20x = 0 + -18 20x = 0 + -18 Combine like terms: 0 + -18 = -18 20x = -18 Divide each side by '20'. x = -0.9 Simplifying x = -0.9
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