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Simplifying (x + -3) * 2 + (y + 5) * 2 = 81 Reorder the terms: (-3 + x) * 2 + (y + 5) * 2 = 81 Reorder the terms for easier multiplication: 2(-3 + x) + (y + 5) * 2 = 81 (-3 * 2 + x * 2) + (y + 5) * 2 = 81 (-6 + 2x) + (y + 5) * 2 = 81 Reorder the terms: -6 + 2x + (5 + y) * 2 = 81 Reorder the terms for easier multiplication: -6 + 2x + 2(5 + y) = 81 -6 + 2x + (5 * 2 + y * 2) = 81 -6 + 2x + (10 + 2y) = 81 Reorder the terms: -6 + 10 + 2x + 2y = 81 Combine like terms: -6 + 10 = 4 4 + 2x + 2y = 81 Solving 4 + 2x + 2y = 81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2x + -4 + 2y = 81 + -4 Reorder the terms: 4 + -4 + 2x + 2y = 81 + -4 Combine like terms: 4 + -4 = 0 0 + 2x + 2y = 81 + -4 2x + 2y = 81 + -4 Combine like terms: 81 + -4 = 77 2x + 2y = 77 Add '-2y' to each side of the equation. 2x + 2y + -2y = 77 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 77 + -2y 2x = 77 + -2y Divide each side by '2'. x = 38.5 + -1y Simplifying x = 38.5 + -1y
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