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Simplifying 3(5x + 1) + 6(2x + 1) = 2 Reorder the terms: 3(1 + 5x) + 6(2x + 1) = 2 (1 * 3 + 5x * 3) + 6(2x + 1) = 2 (3 + 15x) + 6(2x + 1) = 2 Reorder the terms: 3 + 15x + 6(1 + 2x) = 2 3 + 15x + (1 * 6 + 2x * 6) = 2 3 + 15x + (6 + 12x) = 2 Reorder the terms: 3 + 6 + 15x + 12x = 2 Combine like terms: 3 + 6 = 9 9 + 15x + 12x = 2 Combine like terms: 15x + 12x = 27x 9 + 27x = 2 Solving 9 + 27x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 27x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 27x = 2 + -9 27x = 2 + -9 Combine like terms: 2 + -9 = -7 27x = -7 Divide each side by '27'. x = -0.2592592593 Simplifying x = -0.2592592593
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