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Simplifying 82 = x + (x + -42) Reorder the terms: 82 = x + (-42 + x) Remove parenthesis around (-42 + x) 82 = x + -42 + x Reorder the terms: 82 = -42 + x + x Combine like terms: x + x = 2x 82 = -42 + 2x Solving 82 = -42 + 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 + -2x = -42 + 2x + -2x Combine like terms: 2x + -2x = 0 82 + -2x = -42 + 0 82 + -2x = -42 Add '-82' to each side of the equation. 82 + -82 + -2x = -42 + -82 Combine like terms: 82 + -82 = 0 0 + -2x = -42 + -82 -2x = -42 + -82 Combine like terms: -42 + -82 = -124 -2x = -124 Divide each side by '-2'. x = 62 Simplifying x = 62
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