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Simplifying 12x + -27 = 5x + 31 Reorder the terms: -27 + 12x = 5x + 31 Reorder the terms: -27 + 12x = 31 + 5x Solving -27 + 12x = 31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -27 + 12x + -5x = 31 + 5x + -5x Combine like terms: 12x + -5x = 7x -27 + 7x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 7x = 31 + 0 -27 + 7x = 31 Add '27' to each side of the equation. -27 + 27 + 7x = 31 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = 31 + 27 7x = 31 + 27 Combine like terms: 31 + 27 = 58 7x = 58 Divide each side by '7'. x = 8.285714286 Simplifying x = 8.285714286
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