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Simplifying -1[8x + 1(2x + 5)] = 9 + -1(3x + 2) Reorder the terms: -1[8x + 1(5 + 2x)] = 9 + -1(3x + 2) -1[8x + (5 * 1 + 2x * 1)] = 9 + -1(3x + 2) -1[8x + (5 + 2x)] = 9 + -1(3x + 2) Reorder the terms: -1[5 + 8x + 2x] = 9 + -1(3x + 2) Combine like terms: 8x + 2x = 10x -1[5 + 10x] = 9 + -1(3x + 2) [5 * -1 + 10x * -1] = 9 + -1(3x + 2) [-5 + -10x] = 9 + -1(3x + 2) Reorder the terms: -5 + -10x = 9 + -1(2 + 3x) -5 + -10x = 9 + (2 * -1 + 3x * -1) -5 + -10x = 9 + (-2 + -3x) Combine like terms: 9 + -2 = 7 -5 + -10x = 7 + -3x Solving -5 + -10x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + -10x + 3x = 7 + -3x + 3x Combine like terms: -10x + 3x = -7x -5 + -7x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + -7x = 7 + 0 -5 + -7x = 7 Add '5' to each side of the equation. -5 + 5 + -7x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 7 + 5 -7x = 7 + 5 Combine like terms: 7 + 5 = 12 -7x = 12 Divide each side by '-7'. x = -1.714285714 Simplifying x = -1.714285714
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