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Simplifying -1(5x + -6 + (-4x + 5 + (2x + -9) + -14)) = 9 Reorder the terms: -1(5x + -6 + (-4x + 5 + (-9 + 2x) + -14)) = 9 Remove parenthesis around (-9 + 2x) -1(5x + -6 + (-4x + 5 + -9 + 2x + -14)) = 9 Reorder the terms: -1(5x + -6 + (5 + -9 + -14 + -4x + 2x)) = 9 Combine like terms: 5 + -9 = -4 -1(5x + -6 + (-4 + -14 + -4x + 2x)) = 9 Combine like terms: -4 + -14 = -18 -1(5x + -6 + (-18 + -4x + 2x)) = 9 Combine like terms: -4x + 2x = -2x -1(5x + -6 + (-18 + -2x)) = 9 Remove parenthesis around (-18 + -2x) -1(5x + -6 + -18 + -2x) = 9 Reorder the terms: -1(-6 + -18 + 5x + -2x) = 9 Combine like terms: -6 + -18 = -24 -1(-24 + 5x + -2x) = 9 Combine like terms: 5x + -2x = 3x -1(-24 + 3x) = 9 (-24 * -1 + 3x * -1) = 9 (24 + -3x) = 9 Solving 24 + -3x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -3x = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 9 + -24 -3x = 9 + -24 Combine like terms: 9 + -24 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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