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Simplifying -82 + 12x = x + 193 Reorder the terms: -82 + 12x = 193 + x Solving -82 + 12x = 193 + 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 + 12x + -1x = 193 + x + -1x Combine like terms: 12x + -1x = 11x -82 + 11x = 193 + x + -1x Combine like terms: x + -1x = 0 -82 + 11x = 193 + 0 -82 + 11x = 193 Add '82' to each side of the equation. -82 + 82 + 11x = 193 + 82 Combine like terms: -82 + 82 = 0 0 + 11x = 193 + 82 11x = 193 + 82 Combine like terms: 193 + 82 = 275 11x = 275 Divide each side by '11'. x = 25 Simplifying x = 25
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