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Simplifying 6(x + 1) + 8(x + 2) = 0 Reorder the terms: 6(1 + x) + 8(x + 2) = 0 (1 * 6 + x * 6) + 8(x + 2) = 0 (6 + 6x) + 8(x + 2) = 0 Reorder the terms: 6 + 6x + 8(2 + x) = 0 6 + 6x + (2 * 8 + x * 8) = 0 6 + 6x + (16 + 8x) = 0 Reorder the terms: 6 + 16 + 6x + 8x = 0 Combine like terms: 6 + 16 = 22 22 + 6x + 8x = 0 Combine like terms: 6x + 8x = 14x 22 + 14x = 0 Solving 22 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 14x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 14x = 0 + -22 14x = 0 + -22 Combine like terms: 0 + -22 = -22 14x = -22 Divide each side by '14'. x = -1.571428571 Simplifying x = -1.571428571
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