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Simplifying -1(3x + -15) + 2(6x + 6) = 0 Reorder the terms: -1(-15 + 3x) + 2(6x + 6) = 0 (-15 * -1 + 3x * -1) + 2(6x + 6) = 0 (15 + -3x) + 2(6x + 6) = 0 Reorder the terms: 15 + -3x + 2(6 + 6x) = 0 15 + -3x + (6 * 2 + 6x * 2) = 0 15 + -3x + (12 + 12x) = 0 Reorder the terms: 15 + 12 + -3x + 12x = 0 Combine like terms: 15 + 12 = 27 27 + -3x + 12x = 0 Combine like terms: -3x + 12x = 9x 27 + 9x = 0 Solving 27 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 9x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 9x = 0 + -27 9x = 0 + -27 Combine like terms: 0 + -27 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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