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Simplifying -1[8x + -1(11x + 5)] = 5 + (2x + 9) Reorder the terms: -1[8x + -1(5 + 11x)] = 5 + (2x + 9) -1[8x + (5 * -1 + 11x * -1)] = 5 + (2x + 9) -1[8x + (-5 + -11x)] = 5 + (2x + 9) Reorder the terms: -1[-5 + 8x + -11x] = 5 + (2x + 9) Combine like terms: 8x + -11x = -3x -1[-5 + -3x] = 5 + (2x + 9) [-5 * -1 + -3x * -1] = 5 + (2x + 9) [5 + 3x] = 5 + (2x + 9) Reorder the terms: 5 + 3x = 5 + (9 + 2x) Remove parenthesis around (9 + 2x) 5 + 3x = 5 + 9 + 2x Combine like terms: 5 + 9 = 14 5 + 3x = 14 + 2x Solving 5 + 3x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 3x + -2x = 14 + 2x + -2x Combine like terms: 3x + -2x = 1x 5 + 1x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 1x = 14 + 0 5 + 1x = 14 Add '-5' to each side of the equation. 5 + -5 + 1x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 14 + -5 1x = 14 + -5 Combine like terms: 14 + -5 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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