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Simplifying 6x + 6 = 9 + -1(6x + -8) Reorder the terms: 6 + 6x = 9 + -1(6x + -8) Reorder the terms: 6 + 6x = 9 + -1(-8 + 6x) 6 + 6x = 9 + (-8 * -1 + 6x * -1) 6 + 6x = 9 + (8 + -6x) Combine like terms: 9 + 8 = 17 6 + 6x = 17 + -6x Solving 6 + 6x = 17 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6 + 6x + 6x = 17 + -6x + 6x Combine like terms: 6x + 6x = 12x 6 + 12x = 17 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 12x = 17 + 0 6 + 12x = 17 Add '-6' to each side of the equation. 6 + -6 + 12x = 17 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 17 + -6 12x = 17 + -6 Combine like terms: 17 + -6 = 11 12x = 11 Divide each side by '12'. x = 0.9166666667 Simplifying x = 0.9166666667
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