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Simplifying -6x + -2 + 3x = 9x + 6 Reorder the terms: -2 + -6x + 3x = 9x + 6 Combine like terms: -6x + 3x = -3x -2 + -3x = 9x + 6 Reorder the terms: -2 + -3x = 6 + 9x Solving -2 + -3x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + -3x + -9x = 6 + 9x + -9x Combine like terms: -3x + -9x = -12x -2 + -12x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -12x = 6 + 0 -2 + -12x = 6 Add '2' to each side of the equation. -2 + 2 + -12x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -12x = 6 + 2 -12x = 6 + 2 Combine like terms: 6 + 2 = 8 -12x = 8 Divide each side by '-12'. x = -0.6666666667 Simplifying x = -0.6666666667
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