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Simplifying -9[9x + -1(15x + 8)] = 8 + (5x + 1) Reorder the terms: -9[9x + -1(8 + 15x)] = 8 + (5x + 1) -9[9x + (8 * -1 + 15x * -1)] = 8 + (5x + 1) -9[9x + (-8 + -15x)] = 8 + (5x + 1) Reorder the terms: -9[-8 + 9x + -15x] = 8 + (5x + 1) Combine like terms: 9x + -15x = -6x -9[-8 + -6x] = 8 + (5x + 1) [-8 * -9 + -6x * -9] = 8 + (5x + 1) [72 + 54x] = 8 + (5x + 1) Reorder the terms: 72 + 54x = 8 + (1 + 5x) Remove parenthesis around (1 + 5x) 72 + 54x = 8 + 1 + 5x Combine like terms: 8 + 1 = 9 72 + 54x = 9 + 5x Solving 72 + 54x = 9 + 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. 72 + 54x + -5x = 9 + 5x + -5x Combine like terms: 54x + -5x = 49x 72 + 49x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 72 + 49x = 9 + 0 72 + 49x = 9 Add '-72' to each side of the equation. 72 + -72 + 49x = 9 + -72 Combine like terms: 72 + -72 = 0 0 + 49x = 9 + -72 49x = 9 + -72 Combine like terms: 9 + -72 = -63 49x = -63 Divide each side by '49'. x = -1.285714286 Simplifying x = -1.285714286
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