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Simplifying -1[10x + -1(19x + 8)] = 8 + (8x + 9) Reorder the terms: -1[10x + -1(8 + 19x)] = 8 + (8x + 9) -1[10x + (8 * -1 + 19x * -1)] = 8 + (8x + 9) -1[10x + (-8 + -19x)] = 8 + (8x + 9) Reorder the terms: -1[-8 + 10x + -19x] = 8 + (8x + 9) Combine like terms: 10x + -19x = -9x -1[-8 + -9x] = 8 + (8x + 9) [-8 * -1 + -9x * -1] = 8 + (8x + 9) [8 + 9x] = 8 + (8x + 9) Reorder the terms: 8 + 9x = 8 + (9 + 8x) Remove parenthesis around (9 + 8x) 8 + 9x = 8 + 9 + 8x Combine like terms: 8 + 9 = 17 8 + 9x = 17 + 8x Solving 8 + 9x = 17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 9x + -8x = 17 + 8x + -8x Combine like terms: 9x + -8x = 1x 8 + 1x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + 1x = 17 + 0 8 + 1x = 17 Add '-8' to each side of the equation. 8 + -8 + 1x = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 17 + -8 1x = 17 + -8 Combine like terms: 17 + -8 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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