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Simplifying x + (x + -38) = 82 Reorder the terms: x + (-38 + x) = 82 Remove parenthesis around (-38 + x) x + -38 + x = 82 Reorder the terms: -38 + x + x = 82 Combine like terms: x + x = 2x -38 + 2x = 82 Solving -38 + 2x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 2x = 82 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = 82 + 38 2x = 82 + 38 Combine like terms: 82 + 38 = 120 2x = 120 Divide each side by '2'. x = 60 Simplifying x = 60
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