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Simplifying (X + -2) * 2 + (y + 1) * 2 = 81 Reorder the terms: (-2 + X) * 2 + (y + 1) * 2 = 81 Reorder the terms for easier multiplication: 2(-2 + X) + (y + 1) * 2 = 81 (-2 * 2 + X * 2) + (y + 1) * 2 = 81 (-4 + 2X) + (y + 1) * 2 = 81 Reorder the terms: -4 + 2X + (1 + y) * 2 = 81 Reorder the terms for easier multiplication: -4 + 2X + 2(1 + y) = 81 -4 + 2X + (1 * 2 + y * 2) = 81 -4 + 2X + (2 + 2y) = 81 Reorder the terms: -4 + 2 + 2X + 2y = 81 Combine like terms: -4 + 2 = -2 -2 + 2X + 2y = 81 Solving -2 + 2X + 2y = 81 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2X + 2 + 2y = 81 + 2 Reorder the terms: -2 + 2 + 2X + 2y = 81 + 2 Combine like terms: -2 + 2 = 0 0 + 2X + 2y = 81 + 2 2X + 2y = 81 + 2 Combine like terms: 81 + 2 = 83 2X + 2y = 83 Add '-2y' to each side of the equation. 2X + 2y + -2y = 83 + -2y Combine like terms: 2y + -2y = 0 2X + 0 = 83 + -2y 2X = 83 + -2y Divide each side by '2'. X = 41.5 + -1y Simplifying X = 41.5 + -1y
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