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Simplifying 9x + -1(5x + 1) + -1[2 + 8x + -1(7x + -5)] + 9x = 0 Reorder the terms: 9x + -1(1 + 5x) + -1[2 + 8x + -1(7x + -5)] + 9x = 0 9x + (1 * -1 + 5x * -1) + -1[2 + 8x + -1(7x + -5)] + 9x = 0 9x + (-1 + -5x) + -1[2 + 8x + -1(7x + -5)] + 9x = 0 Reorder the terms: 9x + -1 + -5x + -1[2 + 8x + -1(-5 + 7x)] + 9x = 0 9x + -1 + -5x + -1[2 + 8x + (-5 * -1 + 7x * -1)] + 9x = 0 9x + -1 + -5x + -1[2 + 8x + (5 + -7x)] + 9x = 0 Reorder the terms: 9x + -1 + -5x + -1[2 + 5 + 8x + -7x] + 9x = 0 Combine like terms: 2 + 5 = 7 9x + -1 + -5x + -1[7 + 8x + -7x] + 9x = 0 Combine like terms: 8x + -7x = 1x 9x + -1 + -5x + -1[7 + 1x] + 9x = 0 9x + -1 + -5x + [7 * -1 + 1x * -1] + 9x = 0 9x + -1 + -5x + [-7 + -1x] + 9x = 0 Reorder the terms: -1 + -7 + 9x + -5x + -1x + 9x = 0 Combine like terms: -1 + -7 = -8 -8 + 9x + -5x + -1x + 9x = 0 Combine like terms: 9x + -5x = 4x -8 + 4x + -1x + 9x = 0 Combine like terms: 4x + -1x = 3x -8 + 3x + 9x = 0 Combine like terms: 3x + 9x = 12x -8 + 12x = 0 Solving -8 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 12x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 0 + 8 12x = 0 + 8 Combine like terms: 0 + 8 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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