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Simplifying x + 82 = 42x Reorder the terms: 82 + x = 42x Solving 82 + x = 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 82 + x + -42x = 42x + -42x Combine like terms: x + -42x = -41x 82 + -41x = 42x + -42x Combine like terms: 42x + -42x = 0 82 + -41x = 0 Add '-82' to each side of the equation. 82 + -82 + -41x = 0 + -82 Combine like terms: 82 + -82 = 0 0 + -41x = 0 + -82 -41x = 0 + -82 Combine like terms: 0 + -82 = -82 -41x = -82 Divide each side by '-41'. x = 2 Simplifying x = 2
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