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Simplifying -1[8x + -1(14x + 9)] = 9 + (5x + 6) Reorder the terms: -1[8x + -1(9 + 14x)] = 9 + (5x + 6) -1[8x + (9 * -1 + 14x * -1)] = 9 + (5x + 6) -1[8x + (-9 + -14x)] = 9 + (5x + 6) Reorder the terms: -1[-9 + 8x + -14x] = 9 + (5x + 6) Combine like terms: 8x + -14x = -6x -1[-9 + -6x] = 9 + (5x + 6) [-9 * -1 + -6x * -1] = 9 + (5x + 6) [9 + 6x] = 9 + (5x + 6) Reorder the terms: 9 + 6x = 9 + (6 + 5x) Remove parenthesis around (6 + 5x) 9 + 6x = 9 + 6 + 5x Combine like terms: 9 + 6 = 15 9 + 6x = 15 + 5x Solving 9 + 6x = 15 + 5x 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. 9 + 6x + -5x = 15 + 5x + -5x Combine like terms: 6x + -5x = 1x 9 + 1x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 1x = 15 + 0 9 + 1x = 15 Add '-9' to each side of the equation. 9 + -9 + 1x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 15 + -9 1x = 15 + -9 Combine like terms: 15 + -9 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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