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Simplifying 3(4x + 3) + -2(3x + -1) = 0 Reorder the terms: 3(3 + 4x) + -2(3x + -1) = 0 (3 * 3 + 4x * 3) + -2(3x + -1) = 0 (9 + 12x) + -2(3x + -1) = 0 Reorder the terms: 9 + 12x + -2(-1 + 3x) = 0 9 + 12x + (-1 * -2 + 3x * -2) = 0 9 + 12x + (2 + -6x) = 0 Reorder the terms: 9 + 2 + 12x + -6x = 0 Combine like terms: 9 + 2 = 11 11 + 12x + -6x = 0 Combine like terms: 12x + -6x = 6x 11 + 6x = 0 Solving 11 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 0 + -11 6x = 0 + -11 Combine like terms: 0 + -11 = -11 6x = -11 Divide each side by '6'. x = -1.833333333 Simplifying x = -1.833333333
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