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Simplifying 2(6x + 2) + 3(4x + 5) = 0 Reorder the terms: 2(2 + 6x) + 3(4x + 5) = 0 (2 * 2 + 6x * 2) + 3(4x + 5) = 0 (4 + 12x) + 3(4x + 5) = 0 Reorder the terms: 4 + 12x + 3(5 + 4x) = 0 4 + 12x + (5 * 3 + 4x * 3) = 0 4 + 12x + (15 + 12x) = 0 Reorder the terms: 4 + 15 + 12x + 12x = 0 Combine like terms: 4 + 15 = 19 19 + 12x + 12x = 0 Combine like terms: 12x + 12x = 24x 19 + 24x = 0 Solving 19 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 24x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 24x = 0 + -19 24x = 0 + -19 Combine like terms: 0 + -19 = -19 24x = -19 Divide each side by '24'. x = -0.7916666667 Simplifying x = -0.7916666667
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