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Simplifying -27 + 2x = 58 + -3x Solving -27 + 2x = 58 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -27 + 2x + 3x = 58 + -3x + 3x Combine like terms: 2x + 3x = 5x -27 + 5x = 58 + -3x + 3x Combine like terms: -3x + 3x = 0 -27 + 5x = 58 + 0 -27 + 5x = 58 Add '27' to each side of the equation. -27 + 27 + 5x = 58 + 27 Combine like terms: -27 + 27 = 0 0 + 5x = 58 + 27 5x = 58 + 27 Combine like terms: 58 + 27 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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