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Simplifying (2y + -10) + 2x = 82 Reorder the terms: (-10 + 2y) + 2x = 82 Remove parenthesis around (-10 + 2y) -10 + 2y + 2x = 82 Reorder the terms: -10 + 2x + 2y = 82 Solving -10 + 2x + 2y = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2x + 10 + 2y = 82 + 10 Reorder the terms: -10 + 10 + 2x + 2y = 82 + 10 Combine like terms: -10 + 10 = 0 0 + 2x + 2y = 82 + 10 2x + 2y = 82 + 10 Combine like terms: 82 + 10 = 92 2x + 2y = 92 Add '-2y' to each side of the equation. 2x + 2y + -2y = 92 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 92 + -2y 2x = 92 + -2y Divide each side by '2'. x = 46 + -1y Simplifying x = 46 + -1y
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