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Simplifying 2 + 9(x + -6) = 6 + -3(x + -8) Reorder the terms: 2 + 9(-6 + x) = 6 + -3(x + -8) 2 + (-6 * 9 + x * 9) = 6 + -3(x + -8) 2 + (-54 + 9x) = 6 + -3(x + -8) Combine like terms: 2 + -54 = -52 -52 + 9x = 6 + -3(x + -8) Reorder the terms: -52 + 9x = 6 + -3(-8 + x) -52 + 9x = 6 + (-8 * -3 + x * -3) -52 + 9x = 6 + (24 + -3x) Combine like terms: 6 + 24 = 30 -52 + 9x = 30 + -3x Solving -52 + 9x = 30 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -52 + 9x + 3x = 30 + -3x + 3x Combine like terms: 9x + 3x = 12x -52 + 12x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 -52 + 12x = 30 + 0 -52 + 12x = 30 Add '52' to each side of the equation. -52 + 52 + 12x = 30 + 52 Combine like terms: -52 + 52 = 0 0 + 12x = 30 + 52 12x = 30 + 52 Combine like terms: 30 + 52 = 82 12x = 82 Divide each side by '12'. x = 6.833333333 Simplifying x = 6.833333333
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