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Simplifying 5x + -27 = 7 + -12x Reorder the terms: -27 + 5x = 7 + -12x Solving -27 + 5x = 7 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -27 + 5x + 12x = 7 + -12x + 12x Combine like terms: 5x + 12x = 17x -27 + 17x = 7 + -12x + 12x Combine like terms: -12x + 12x = 0 -27 + 17x = 7 + 0 -27 + 17x = 7 Add '27' to each side of the equation. -27 + 27 + 17x = 7 + 27 Combine like terms: -27 + 27 = 0 0 + 17x = 7 + 27 17x = 7 + 27 Combine like terms: 7 + 27 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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