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Simplifying 5X + 5Y + 20 = X + Y Reorder the terms: 20 + 5X + 5Y = X + Y Solving 20 + 5X + 5Y = X + Y Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. 20 + 5X + -1X + 5Y = X + -1X + Y Combine like terms: 5X + -1X = 4X 20 + 4X + 5Y = X + -1X + Y Combine like terms: X + -1X = 0 20 + 4X + 5Y = 0 + Y 20 + 4X + 5Y = Y Add '-20' to each side of the equation. 20 + 4X + -20 + 5Y = -20 + Y Reorder the terms: 20 + -20 + 4X + 5Y = -20 + Y Combine like terms: 20 + -20 = 0 0 + 4X + 5Y = -20 + Y 4X + 5Y = -20 + Y Add '-5Y' to each side of the equation. 4X + 5Y + -5Y = -20 + Y + -5Y Combine like terms: 5Y + -5Y = 0 4X + 0 = -20 + Y + -5Y 4X = -20 + Y + -5Y Combine like terms: Y + -5Y = -4Y 4X = -20 + -4Y Divide each side by '4'. X = -5 + -1Y Simplifying X = -5 + -1Y
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