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Simplifying (3x + 1) * 2 + 12(3x + 1) + 27 = 0 Reorder the terms: (1 + 3x) * 2 + 12(3x + 1) + 27 = 0 Reorder the terms for easier multiplication: 2(1 + 3x) + 12(3x + 1) + 27 = 0 (1 * 2 + 3x * 2) + 12(3x + 1) + 27 = 0 (2 + 6x) + 12(3x + 1) + 27 = 0 Reorder the terms: 2 + 6x + 12(1 + 3x) + 27 = 0 2 + 6x + (1 * 12 + 3x * 12) + 27 = 0 2 + 6x + (12 + 36x) + 27 = 0 Reorder the terms: 2 + 12 + 27 + 6x + 36x = 0 Combine like terms: 2 + 12 = 14 14 + 27 + 6x + 36x = 0 Combine like terms: 14 + 27 = 41 41 + 6x + 36x = 0 Combine like terms: 6x + 36x = 42x 41 + 42x = 0 Solving 41 + 42x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 42x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 42x = 0 + -41 42x = 0 + -41 Combine like terms: 0 + -41 = -41 42x = -41 Divide each side by '42'. x = -0.9761904762 Simplifying x = -0.9761904762
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