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Simplifying 6(x + 1) + 7(x + 2) = 0 Reorder the terms: 6(1 + x) + 7(x + 2) = 0 (1 * 6 + x * 6) + 7(x + 2) = 0 (6 + 6x) + 7(x + 2) = 0 Reorder the terms: 6 + 6x + 7(2 + x) = 0 6 + 6x + (2 * 7 + x * 7) = 0 6 + 6x + (14 + 7x) = 0 Reorder the terms: 6 + 14 + 6x + 7x = 0 Combine like terms: 6 + 14 = 20 20 + 6x + 7x = 0 Combine like terms: 6x + 7x = 13x 20 + 13x = 0 Solving 20 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 13x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 13x = 0 + -20 13x = 0 + -20 Combine like terms: 0 + -20 = -20 13x = -20 Divide each side by '13'. x = -1.538461538 Simplifying x = -1.538461538
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