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Simplifying 9 + 6(x + -6) = 8 + -6(x + -6) Reorder the terms: 9 + 6(-6 + x) = 8 + -6(x + -6) 9 + (-6 * 6 + x * 6) = 8 + -6(x + -6) 9 + (-36 + 6x) = 8 + -6(x + -6) Combine like terms: 9 + -36 = -27 -27 + 6x = 8 + -6(x + -6) Reorder the terms: -27 + 6x = 8 + -6(-6 + x) -27 + 6x = 8 + (-6 * -6 + x * -6) -27 + 6x = 8 + (36 + -6x) Combine like terms: 8 + 36 = 44 -27 + 6x = 44 + -6x Solving -27 + 6x = 44 + -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. -27 + 6x + 6x = 44 + -6x + 6x Combine like terms: 6x + 6x = 12x -27 + 12x = 44 + -6x + 6x Combine like terms: -6x + 6x = 0 -27 + 12x = 44 + 0 -27 + 12x = 44 Add '27' to each side of the equation. -27 + 27 + 12x = 44 + 27 Combine like terms: -27 + 27 = 0 0 + 12x = 44 + 27 12x = 44 + 27 Combine like terms: 44 + 27 = 71 12x = 71 Divide each side by '12'. x = 5.916666667 Simplifying x = 5.916666667
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