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Simplifying 4(5x + 6) + 7(6x + 2) + 2 = 0 Reorder the terms: 4(6 + 5x) + 7(6x + 2) + 2 = 0 (6 * 4 + 5x * 4) + 7(6x + 2) + 2 = 0 (24 + 20x) + 7(6x + 2) + 2 = 0 Reorder the terms: 24 + 20x + 7(2 + 6x) + 2 = 0 24 + 20x + (2 * 7 + 6x * 7) + 2 = 0 24 + 20x + (14 + 42x) + 2 = 0 Reorder the terms: 24 + 14 + 2 + 20x + 42x = 0 Combine like terms: 24 + 14 = 38 38 + 2 + 20x + 42x = 0 Combine like terms: 38 + 2 = 40 40 + 20x + 42x = 0 Combine like terms: 20x + 42x = 62x 40 + 62x = 0 Solving 40 + 62x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 62x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 62x = 0 + -40 62x = 0 + -40 Combine like terms: 0 + -40 = -40 62x = -40 Divide each side by '62'. x = -0.6451612903 Simplifying x = -0.6451612903
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