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Simplifying 2X + Y + 420 = 2024 Reorder the terms: 420 + 2X + Y = 2024 Solving 420 + 2X + Y = 2024 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-420' to each side of the equation. 420 + 2X + -420 + Y = 2024 + -420 Reorder the terms: 420 + -420 + 2X + Y = 2024 + -420 Combine like terms: 420 + -420 = 0 0 + 2X + Y = 2024 + -420 2X + Y = 2024 + -420 Combine like terms: 2024 + -420 = 1604 2X + Y = 1604 Add '-1Y' to each side of the equation. 2X + Y + -1Y = 1604 + -1Y Combine like terms: Y + -1Y = 0 2X + 0 = 1604 + -1Y 2X = 1604 + -1Y Divide each side by '2'. X = 802 + -0.5Y Simplifying X = 802 + -0.5Y
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