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Simplifying 9(x + 1) + -1(2x + -5) = 2 Reorder the terms: 9(1 + x) + -1(2x + -5) = 2 (1 * 9 + x * 9) + -1(2x + -5) = 2 (9 + 9x) + -1(2x + -5) = 2 Reorder the terms: 9 + 9x + -1(-5 + 2x) = 2 9 + 9x + (-5 * -1 + 2x * -1) = 2 9 + 9x + (5 + -2x) = 2 Reorder the terms: 9 + 5 + 9x + -2x = 2 Combine like terms: 9 + 5 = 14 14 + 9x + -2x = 2 Combine like terms: 9x + -2x = 7x 14 + 7x = 2 Solving 14 + 7x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 2 + -14 7x = 2 + -14 Combine like terms: 2 + -14 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714
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