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Simplifying 6(3x + 2) + 5(4x + 3) = 0 Reorder the terms: 6(2 + 3x) + 5(4x + 3) = 0 (2 * 6 + 3x * 6) + 5(4x + 3) = 0 (12 + 18x) + 5(4x + 3) = 0 Reorder the terms: 12 + 18x + 5(3 + 4x) = 0 12 + 18x + (3 * 5 + 4x * 5) = 0 12 + 18x + (15 + 20x) = 0 Reorder the terms: 12 + 15 + 18x + 20x = 0 Combine like terms: 12 + 15 = 27 27 + 18x + 20x = 0 Combine like terms: 18x + 20x = 38x 27 + 38x = 0 Solving 27 + 38x = 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 + 38x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 38x = 0 + -27 38x = 0 + -27 Combine like terms: 0 + -27 = -27 38x = -27 Divide each side by '38'. x = -0.7105263158 Simplifying x = -0.7105263158
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