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Simplifying -8x + -1[2(10 + -5x) + 15] = 9x -8x + -1[(10 * 2 + -5x * 2) + 15] = 9x -8x + -1[(20 + -10x) + 15] = 9x Reorder the terms: -8x + -1[20 + 15 + -10x] = 9x Combine like terms: 20 + 15 = 35 -8x + -1[35 + -10x] = 9x -8x + [35 * -1 + -10x * -1] = 9x -8x + [-35 + 10x] = 9x Reorder the terms: -35 + -8x + 10x = 9x Combine like terms: -8x + 10x = 2x -35 + 2x = 9x Solving -35 + 2x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -35 + 2x + -9x = 9x + -9x Combine like terms: 2x + -9x = -7x -35 + -7x = 9x + -9x Combine like terms: 9x + -9x = 0 -35 + -7x = 0 Add '35' to each side of the equation. -35 + 35 + -7x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -7x = 0 + 35 -7x = 0 + 35 Combine like terms: 0 + 35 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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