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Simplifying (X + 2) * 2 + (y + -1) * 1 = 81 Reorder the terms: (2 + X) * 2 + (y + -1) * 1 = 81 Reorder the terms for easier multiplication: 2(2 + X) + (y + -1) * 1 = 81 (2 * 2 + X * 2) + (y + -1) * 1 = 81 (4 + 2X) + (y + -1) * 1 = 81 Reorder the terms: 4 + 2X + (-1 + y) * 1 = 81 Reorder the terms for easier multiplication: 4 + 2X + 1(-1 + y) = 81 4 + 2X + (-1 * 1 + y * 1) = 81 4 + 2X + (-1 + 1y) = 81 Reorder the terms: 4 + -1 + 2X + 1y = 81 Combine like terms: 4 + -1 = 3 3 + 2X + 1y = 81 Solving 3 + 2X + 1y = 81 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2X + -3 + 1y = 81 + -3 Reorder the terms: 3 + -3 + 2X + 1y = 81 + -3 Combine like terms: 3 + -3 = 0 0 + 2X + 1y = 81 + -3 2X + 1y = 81 + -3 Combine like terms: 81 + -3 = 78 2X + 1y = 78 Add '-1y' to each side of the equation. 2X + 1y + -1y = 78 + -1y Combine like terms: 1y + -1y = 0 2X + 0 = 78 + -1y 2X = 78 + -1y Divide each side by '2'. X = 39 + -0.5y Simplifying X = 39 + -0.5y
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