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Simplifying 9(x + 5) + -1(4x + -1) = 8 Reorder the terms: 9(5 + x) + -1(4x + -1) = 8 (5 * 9 + x * 9) + -1(4x + -1) = 8 (45 + 9x) + -1(4x + -1) = 8 Reorder the terms: 45 + 9x + -1(-1 + 4x) = 8 45 + 9x + (-1 * -1 + 4x * -1) = 8 45 + 9x + (1 + -4x) = 8 Reorder the terms: 45 + 1 + 9x + -4x = 8 Combine like terms: 45 + 1 = 46 46 + 9x + -4x = 8 Combine like terms: 9x + -4x = 5x 46 + 5x = 8 Solving 46 + 5x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 5x = 8 + -46 Combine like terms: 46 + -46 = 0 0 + 5x = 8 + -46 5x = 8 + -46 Combine like terms: 8 + -46 = -38 5x = -38 Divide each side by '5'. x = -7.6 Simplifying x = -7.6
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