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Simplifying (x + 8) * 2 + (y + 5) * 2 = 81 Reorder the terms: (8 + x) * 2 + (y + 5) * 2 = 81 Reorder the terms for easier multiplication: 2(8 + x) + (y + 5) * 2 = 81 (8 * 2 + x * 2) + (y + 5) * 2 = 81 (16 + 2x) + (y + 5) * 2 = 81 Reorder the terms: 16 + 2x + (5 + y) * 2 = 81 Reorder the terms for easier multiplication: 16 + 2x + 2(5 + y) = 81 16 + 2x + (5 * 2 + y * 2) = 81 16 + 2x + (10 + 2y) = 81 Reorder the terms: 16 + 10 + 2x + 2y = 81 Combine like terms: 16 + 10 = 26 26 + 2x + 2y = 81 Solving 26 + 2x + 2y = 81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + 2x + -26 + 2y = 81 + -26 Reorder the terms: 26 + -26 + 2x + 2y = 81 + -26 Combine like terms: 26 + -26 = 0 0 + 2x + 2y = 81 + -26 2x + 2y = 81 + -26 Combine like terms: 81 + -26 = 55 2x + 2y = 55 Add '-2y' to each side of the equation. 2x + 2y + -2y = 55 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 55 + -2y 2x = 55 + -2y Divide each side by '2'. x = 27.5 + -1y Simplifying x = 27.5 + -1y
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