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Simplifying 6(3x + 2) + 3(3x + -1) = 0 Reorder the terms: 6(2 + 3x) + 3(3x + -1) = 0 (2 * 6 + 3x * 6) + 3(3x + -1) = 0 (12 + 18x) + 3(3x + -1) = 0 Reorder the terms: 12 + 18x + 3(-1 + 3x) = 0 12 + 18x + (-1 * 3 + 3x * 3) = 0 12 + 18x + (-3 + 9x) = 0 Reorder the terms: 12 + -3 + 18x + 9x = 0 Combine like terms: 12 + -3 = 9 9 + 18x + 9x = 0 Combine like terms: 18x + 9x = 27x 9 + 27x = 0 Solving 9 + 27x = 0 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 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 27x = 0 + -9 27x = 0 + -9 Combine like terms: 0 + -9 = -9 27x = -9 Divide each side by '27'. x = -0.3333333333 Simplifying x = -0.3333333333
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