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Simplifying 2x + 2y + yx + y2 = 2x + 7y Reorder the terms: 2x + xy + 2y + y2 = 2x + 7y Add '-2x' to each side of the equation. 2x + xy + 2y + -2x + y2 = 2x + -2x + 7y Reorder the terms: 2x + -2x + xy + 2y + y2 = 2x + -2x + 7y Combine like terms: 2x + -2x = 0 0 + xy + 2y + y2 = 2x + -2x + 7y xy + 2y + y2 = 2x + -2x + 7y Combine like terms: 2x + -2x = 0 xy + 2y + y2 = 0 + 7y xy + 2y + y2 = 7y Solving xy + 2y + y2 = 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. xy + 2y + -2y + y2 = 7y + -2y Combine like terms: 2y + -2y = 0 xy + 0 + y2 = 7y + -2y xy + y2 = 7y + -2y Combine like terms: 7y + -2y = 5y xy + y2 = 5y Add '-1y2' to each side of the equation. xy + y2 + -1y2 = 5y + -1y2 Combine like terms: y2 + -1y2 = 0 xy + 0 = 5y + -1y2 xy = 5y + -1y2 Divide each side by 'y'. x = 5 + -1y Simplifying x = 5 + -1y
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