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Simplifying 3(4x + 5) + 4(2x + 6) = 0 Reorder the terms: 3(5 + 4x) + 4(2x + 6) = 0 (5 * 3 + 4x * 3) + 4(2x + 6) = 0 (15 + 12x) + 4(2x + 6) = 0 Reorder the terms: 15 + 12x + 4(6 + 2x) = 0 15 + 12x + (6 * 4 + 2x * 4) = 0 15 + 12x + (24 + 8x) = 0 Reorder the terms: 15 + 24 + 12x + 8x = 0 Combine like terms: 15 + 24 = 39 39 + 12x + 8x = 0 Combine like terms: 12x + 8x = 20x 39 + 20x = 0 Solving 39 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 20x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 20x = 0 + -39 20x = 0 + -39 Combine like terms: 0 + -39 = -39 20x = -39 Divide each side by '20'. x = -1.95 Simplifying x = -1.95
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