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Simplifying -82 + 11x = 118 + x Solving -82 + 11x = 118 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -82 + 11x + -1x = 118 + x + -1x Combine like terms: 11x + -1x = 10x -82 + 10x = 118 + x + -1x Combine like terms: x + -1x = 0 -82 + 10x = 118 + 0 -82 + 10x = 118 Add '82' to each side of the equation. -82 + 82 + 10x = 118 + 82 Combine like terms: -82 + 82 = 0 0 + 10x = 118 + 82 10x = 118 + 82 Combine like terms: 118 + 82 = 200 10x = 200 Divide each side by '10'. x = 20 Simplifying x = 20
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