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Simplifying -169 + 27x = 311 + 17x Solving -169 + 27x = 311 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -169 + 27x + -17x = 311 + 17x + -17x Combine like terms: 27x + -17x = 10x -169 + 10x = 311 + 17x + -17x Combine like terms: 17x + -17x = 0 -169 + 10x = 311 + 0 -169 + 10x = 311 Add '169' to each side of the equation. -169 + 169 + 10x = 311 + 169 Combine like terms: -169 + 169 = 0 0 + 10x = 311 + 169 10x = 311 + 169 Combine like terms: 311 + 169 = 480 10x = 480 Divide each side by '10'. x = 48 Simplifying x = 48
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