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Simplifying (5x + 9) + -1(3X + -13) = 2(11 + x) Reorder the terms: (9 + 5x) + -1(3X + -13) = 2(11 + x) Remove parenthesis around (9 + 5x) 9 + 5x + -1(3X + -13) = 2(11 + x) Reorder the terms: 9 + 5x + -1(-13 + 3X) = 2(11 + x) 9 + 5x + (-13 * -1 + 3X * -1) = 2(11 + x) 9 + 5x + (13 + -3X) = 2(11 + x) Reorder the terms: 9 + 13 + -3X + 5x = 2(11 + x) Combine like terms: 9 + 13 = 22 22 + -3X + 5x = 2(11 + x) 22 + -3X + 5x = (11 * 2 + x * 2) 22 + -3X + 5x = (22 + 2x) Add '-22' to each side of the equation. 22 + -3X + -22 + 5x = 22 + -22 + 2x Reorder the terms: 22 + -22 + -3X + 5x = 22 + -22 + 2x Combine like terms: 22 + -22 = 0 0 + -3X + 5x = 22 + -22 + 2x -3X + 5x = 22 + -22 + 2x Combine like terms: 22 + -22 = 0 -3X + 5x = 0 + 2x -3X + 5x = 2x Solving -3X + 5x = 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5x' to each side of the equation. -3X + 5x + -5x = 2x + -5x Combine like terms: 5x + -5x = 0 -3X + 0 = 2x + -5x -3X = 2x + -5x Combine like terms: 2x + -5x = -3x -3X = -3x Divide each side by '-3'. X = x Simplifying X = x
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