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Simplifying X + 5Y = -2X + 4Y + 12 Reorder the terms: X + 5Y = 12 + -2X + 4Y Solving X + 5Y = 12 + -2X + 4Y Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2X' to each side of the equation. X + 2X + 5Y = 12 + -2X + 2X + 4Y Combine like terms: X + 2X = 3X 3X + 5Y = 12 + -2X + 2X + 4Y Combine like terms: -2X + 2X = 0 3X + 5Y = 12 + 0 + 4Y 3X + 5Y = 12 + 4Y Add '-5Y' to each side of the equation. 3X + 5Y + -5Y = 12 + 4Y + -5Y Combine like terms: 5Y + -5Y = 0 3X + 0 = 12 + 4Y + -5Y 3X = 12 + 4Y + -5Y Combine like terms: 4Y + -5Y = -1Y 3X = 12 + -1Y Divide each side by '3'. X = 4 + -0.3333333333Y Simplifying X = 4 + -0.3333333333Y
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