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Simplifying -82 + 11x = -2x + 74 Reorder the terms: -82 + 11x = 74 + -2x Solving -82 + 11x = 74 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -82 + 11x + 2x = 74 + -2x + 2x Combine like terms: 11x + 2x = 13x -82 + 13x = 74 + -2x + 2x Combine like terms: -2x + 2x = 0 -82 + 13x = 74 + 0 -82 + 13x = 74 Add '82' to each side of the equation. -82 + 82 + 13x = 74 + 82 Combine like terms: -82 + 82 = 0 0 + 13x = 74 + 82 13x = 74 + 82 Combine like terms: 74 + 82 = 156 13x = 156 Divide each side by '13'. x = 12 Simplifying x = 12
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