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Simplifying -1(5x + -15) + 2(6x + 8) = 0 Reorder the terms: -1(-15 + 5x) + 2(6x + 8) = 0 (-15 * -1 + 5x * -1) + 2(6x + 8) = 0 (15 + -5x) + 2(6x + 8) = 0 Reorder the terms: 15 + -5x + 2(8 + 6x) = 0 15 + -5x + (8 * 2 + 6x * 2) = 0 15 + -5x + (16 + 12x) = 0 Reorder the terms: 15 + 16 + -5x + 12x = 0 Combine like terms: 15 + 16 = 31 31 + -5x + 12x = 0 Combine like terms: -5x + 12x = 7x 31 + 7x = 0 Solving 31 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 7x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 7x = 0 + -31 7x = 0 + -31 Combine like terms: 0 + -31 = -31 7x = -31 Divide each side by '7'. x = -4.428571429 Simplifying x = -4.428571429
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