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Simplifying 9 + 6(x + -6) = 8 + -6(x + -2) Reorder the terms: 9 + 6(-6 + x) = 8 + -6(x + -2) 9 + (-6 * 6 + x * 6) = 8 + -6(x + -2) 9 + (-36 + 6x) = 8 + -6(x + -2) Combine like terms: 9 + -36 = -27 -27 + 6x = 8 + -6(x + -2) Reorder the terms: -27 + 6x = 8 + -6(-2 + x) -27 + 6x = 8 + (-2 * -6 + x * -6) -27 + 6x = 8 + (12 + -6x) Combine like terms: 8 + 12 = 20 -27 + 6x = 20 + -6x Solving -27 + 6x = 20 + -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 = 20 + -6x + 6x Combine like terms: 6x + 6x = 12x -27 + 12x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -27 + 12x = 20 + 0 -27 + 12x = 20 Add '27' to each side of the equation. -27 + 27 + 12x = 20 + 27 Combine like terms: -27 + 27 = 0 0 + 12x = 20 + 27 12x = 20 + 27 Combine like terms: 20 + 27 = 47 12x = 47 Divide each side by '12'. x = 3.916666667 Simplifying x = 3.916666667
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