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Simplifying 6x + -2 = 27x + 12 Reorder the terms: -2 + 6x = 27x + 12 Reorder the terms: -2 + 6x = 12 + 27x Solving -2 + 6x = 12 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -2 + 6x + -27x = 12 + 27x + -27x Combine like terms: 6x + -27x = -21x -2 + -21x = 12 + 27x + -27x Combine like terms: 27x + -27x = 0 -2 + -21x = 12 + 0 -2 + -21x = 12 Add '2' to each side of the equation. -2 + 2 + -21x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -21x = 12 + 2 -21x = 12 + 2 Combine like terms: 12 + 2 = 14 -21x = 14 Divide each side by '-21'. x = -0.6666666667 Simplifying x = -0.6666666667
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