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Simplifying -9(-1 + -5x) = 12 + 8(1 + 7x) (-1 * -9 + -5x * -9) = 12 + 8(1 + 7x) (9 + 45x) = 12 + 8(1 + 7x) 9 + 45x = 12 + (1 * 8 + 7x * 8) 9 + 45x = 12 + (8 + 56x) Combine like terms: 12 + 8 = 20 9 + 45x = 20 + 56x Solving 9 + 45x = 20 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 9 + 45x + -56x = 20 + 56x + -56x Combine like terms: 45x + -56x = -11x 9 + -11x = 20 + 56x + -56x Combine like terms: 56x + -56x = 0 9 + -11x = 20 + 0 9 + -11x = 20 Add '-9' to each side of the equation. 9 + -9 + -11x = 20 + -9 Combine like terms: 9 + -9 = 0 0 + -11x = 20 + -9 -11x = 20 + -9 Combine like terms: 20 + -9 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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