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Simplifying 2(3x + 2) + 2(3x + -1) = 0 Reorder the terms: 2(2 + 3x) + 2(3x + -1) = 0 (2 * 2 + 3x * 2) + 2(3x + -1) = 0 (4 + 6x) + 2(3x + -1) = 0 Reorder the terms: 4 + 6x + 2(-1 + 3x) = 0 4 + 6x + (-1 * 2 + 3x * 2) = 0 4 + 6x + (-2 + 6x) = 0 Reorder the terms: 4 + -2 + 6x + 6x = 0 Combine like terms: 4 + -2 = 2 2 + 6x + 6x = 0 Combine like terms: 6x + 6x = 12x 2 + 12x = 0 Solving 2 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 12x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 0 + -2 12x = 0 + -2 Combine like terms: 0 + -2 = -2 12x = -2 Divide each side by '12'. x = -0.1666666667 Simplifying x = -0.1666666667
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