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Simplifying -1(3x + -12) + 2(6x + 5) = 0 Reorder the terms: -1(-12 + 3x) + 2(6x + 5) = 0 (-12 * -1 + 3x * -1) + 2(6x + 5) = 0 (12 + -3x) + 2(6x + 5) = 0 Reorder the terms: 12 + -3x + 2(5 + 6x) = 0 12 + -3x + (5 * 2 + 6x * 2) = 0 12 + -3x + (10 + 12x) = 0 Reorder the terms: 12 + 10 + -3x + 12x = 0 Combine like terms: 12 + 10 = 22 22 + -3x + 12x = 0 Combine like terms: -3x + 12x = 9x 22 + 9x = 0 Solving 22 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 9x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 9x = 0 + -22 9x = 0 + -22 Combine like terms: 0 + -22 = -22 9x = -22 Divide each side by '9'. x = -2.444444444 Simplifying x = -2.444444444
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