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Simplifying 9(x + 5) + -1(2x + -1) = 6 Reorder the terms: 9(5 + x) + -1(2x + -1) = 6 (5 * 9 + x * 9) + -1(2x + -1) = 6 (45 + 9x) + -1(2x + -1) = 6 Reorder the terms: 45 + 9x + -1(-1 + 2x) = 6 45 + 9x + (-1 * -1 + 2x * -1) = 6 45 + 9x + (1 + -2x) = 6 Reorder the terms: 45 + 1 + 9x + -2x = 6 Combine like terms: 45 + 1 = 46 46 + 9x + -2x = 6 Combine like terms: 9x + -2x = 7x 46 + 7x = 6 Solving 46 + 7x = 6 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 + 7x = 6 + -46 Combine like terms: 46 + -46 = 0 0 + 7x = 6 + -46 7x = 6 + -46 Combine like terms: 6 + -46 = -40 7x = -40 Divide each side by '7'. x = -5.714285714 Simplifying x = -5.714285714
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