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Simplifying 12x + -8 = 27x + 2 Reorder the terms: -8 + 12x = 27x + 2 Reorder the terms: -8 + 12x = 2 + 27x Solving -8 + 12x = 2 + 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. -8 + 12x + -27x = 2 + 27x + -27x Combine like terms: 12x + -27x = -15x -8 + -15x = 2 + 27x + -27x Combine like terms: 27x + -27x = 0 -8 + -15x = 2 + 0 -8 + -15x = 2 Add '8' to each side of the equation. -8 + 8 + -15x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -15x = 2 + 8 -15x = 2 + 8 Combine like terms: 2 + 8 = 10 -15x = 10 Divide each side by '-15'. x = -0.6666666667 Simplifying x = -0.6666666667
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