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Simplifying 2X + 6Y + 2X + -5Y + 1 + Y = 3X + -1 + 2Y Reorder the terms: 1 + 2X + 2X + 6Y + -5Y + Y = 3X + -1 + 2Y Combine like terms: 2X + 2X = 4X 1 + 4X + 6Y + -5Y + Y = 3X + -1 + 2Y Combine like terms: 6Y + -5Y = 1Y 1 + 4X + 1Y + Y = 3X + -1 + 2Y Combine like terms: 1Y + Y = 2Y 1 + 4X + 2Y = 3X + -1 + 2Y Reorder the terms: 1 + 4X + 2Y = -1 + 3X + 2Y Add '-2Y' to each side of the equation. 1 + 4X + 2Y + -2Y = -1 + 3X + 2Y + -2Y Combine like terms: 2Y + -2Y = 0 1 + 4X + 0 = -1 + 3X + 2Y + -2Y 1 + 4X = -1 + 3X + 2Y + -2Y Combine like terms: 2Y + -2Y = 0 1 + 4X = -1 + 3X + 0 1 + 4X = -1 + 3X Solving 1 + 4X = -1 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. 1 + 4X + -3X = -1 + 3X + -3X Combine like terms: 4X + -3X = 1X 1 + 1X = -1 + 3X + -3X Combine like terms: 3X + -3X = 0 1 + 1X = -1 + 0 1 + 1X = -1 Add '-1' to each side of the equation. 1 + -1 + 1X = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 1X = -1 + -1 1X = -1 + -1 Combine like terms: -1 + -1 = -2 1X = -2 Divide each side by '1'. X = -2 Simplifying X = -2
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