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