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Simplifying 9x + -1(5x + 1) + -1(2x + 8x + -1(7x + -5)) + 9x = 0 Reorder the terms: 9x + -1(1 + 5x) + -1(2x + 8x + -1(7x + -5)) + 9x = 0 9x + (1 * -1 + 5x * -1) + -1(2x + 8x + -1(7x + -5)) + 9x = 0 9x + (-1 + -5x) + -1(2x + 8x + -1(7x + -5)) + 9x = 0 Reorder the terms: 9x + -1 + -5x + -1(2x + 8x + -1(-5 + 7x)) + 9x = 0 9x + -1 + -5x + -1(2x + 8x + (-5 * -1 + 7x * -1)) + 9x = 0 9x + -1 + -5x + -1(2x + 8x + (5 + -7x)) + 9x = 0 Reorder the terms: 9x + -1 + -5x + -1(5 + 2x + 8x + -7x) + 9x = 0 Combine like terms: 2x + 8x = 10x 9x + -1 + -5x + -1(5 + 10x + -7x) + 9x = 0 Combine like terms: 10x + -7x = 3x 9x + -1 + -5x + -1(5 + 3x) + 9x = 0 9x + -1 + -5x + (5 * -1 + 3x * -1) + 9x = 0 9x + -1 + -5x + (-5 + -3x) + 9x = 0 Reorder the terms: -1 + -5 + 9x + -5x + -3x + 9x = 0 Combine like terms: -1 + -5 = -6 -6 + 9x + -5x + -3x + 9x = 0 Combine like terms: 9x + -5x = 4x -6 + 4x + -3x + 9x = 0 Combine like terms: 4x + -3x = 1x -6 + 1x + 9x = 0 Combine like terms: 1x + 9x = 10x -6 + 10x = 0 Solving -6 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 10x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 0 + 6 10x = 0 + 6 Combine like terms: 0 + 6 = 6 10x = 6 Divide each side by '10'. x = 0.6 Simplifying x = 0.6
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