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Simplifying 4(5x + 6) + 7(12 + -1x) = 0 Reorder the terms: 4(6 + 5x) + 7(12 + -1x) = 0 (6 * 4 + 5x * 4) + 7(12 + -1x) = 0 (24 + 20x) + 7(12 + -1x) = 0 24 + 20x + (12 * 7 + -1x * 7) = 0 24 + 20x + (84 + -7x) = 0 Reorder the terms: 24 + 84 + 20x + -7x = 0 Combine like terms: 24 + 84 = 108 108 + 20x + -7x = 0 Combine like terms: 20x + -7x = 13x 108 + 13x = 0 Solving 108 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + 13x = 0 + -108 Combine like terms: 108 + -108 = 0 0 + 13x = 0 + -108 13x = 0 + -108 Combine like terms: 0 + -108 = -108 13x = -108 Divide each side by '13'. x = -8.307692308 Simplifying x = -8.307692308
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