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Simplifying 9[6 + -1(5x + -6)] + 6x = 0 Reorder the terms: 9[6 + -1(-6 + 5x)] + 6x = 0 9[6 + (-6 * -1 + 5x * -1)] + 6x = 0 9[6 + (6 + -5x)] + 6x = 0 Combine like terms: 6 + 6 = 12 9[12 + -5x] + 6x = 0 [12 * 9 + -5x * 9] + 6x = 0 [108 + -45x] + 6x = 0 Combine like terms: -45x + 6x = -39x 108 + -39x = 0 Solving 108 + -39x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + -39x = 0 + -108 Combine like terms: 108 + -108 = 0 0 + -39x = 0 + -108 -39x = 0 + -108 Combine like terms: 0 + -108 = -108 -39x = -108 Divide each side by '-39'. x = 2.769230769 Simplifying x = 2.769230769
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