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Simplifying 6(2x + 3) + -1(3x + 2) = 0 Reorder the terms: 6(3 + 2x) + -1(3x + 2) = 0 (3 * 6 + 2x * 6) + -1(3x + 2) = 0 (18 + 12x) + -1(3x + 2) = 0 Reorder the terms: 18 + 12x + -1(2 + 3x) = 0 18 + 12x + (2 * -1 + 3x * -1) = 0 18 + 12x + (-2 + -3x) = 0 Reorder the terms: 18 + -2 + 12x + -3x = 0 Combine like terms: 18 + -2 = 16 16 + 12x + -3x = 0 Combine like terms: 12x + -3x = 9x 16 + 9x = 0 Solving 16 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 9x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 9x = 0 + -16 9x = 0 + -16 Combine like terms: 0 + -16 = -16 9x = -16 Divide each side by '9'. x = -1.777777778 Simplifying x = -1.777777778
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