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Simplifying 6[9 + -1(6x + -8)] + 9x = 0 Reorder the terms: 6[9 + -1(-8 + 6x)] + 9x = 0 6[9 + (-8 * -1 + 6x * -1)] + 9x = 0 6[9 + (8 + -6x)] + 9x = 0 Combine like terms: 9 + 8 = 17 6[17 + -6x] + 9x = 0 [17 * 6 + -6x * 6] + 9x = 0 [102 + -36x] + 9x = 0 Combine like terms: -36x + 9x = -27x 102 + -27x = 0 Solving 102 + -27x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + -27x = 0 + -102 Combine like terms: 102 + -102 = 0 0 + -27x = 0 + -102 -27x = 0 + -102 Combine like terms: 0 + -102 = -102 -27x = -102 Divide each side by '-27'. x = 3.777777778 Simplifying x = 3.777777778
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