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Simplifying -22x + -96 = -27x + 174 Reorder the terms: -96 + -22x = -27x + 174 Reorder the terms: -96 + -22x = 174 + -27x Solving -96 + -22x = 174 + -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. -96 + -22x + 27x = 174 + -27x + 27x Combine like terms: -22x + 27x = 5x -96 + 5x = 174 + -27x + 27x Combine like terms: -27x + 27x = 0 -96 + 5x = 174 + 0 -96 + 5x = 174 Add '96' to each side of the equation. -96 + 96 + 5x = 174 + 96 Combine like terms: -96 + 96 = 0 0 + 5x = 174 + 96 5x = 174 + 96 Combine like terms: 174 + 96 = 270 5x = 270 Divide each side by '5'. x = 54 Simplifying x = 54
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