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Simplifying 2xy + y = 17 + 2(x + -2y) 2xy + y = 17 + (x * 2 + -2y * 2) 2xy + y = 17 + (2x + -4y) Solving 2xy + y = 17 + 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. 2xy + -2x + y = 17 + 2x + -2x + -4y Reorder the terms: -2x + 2xy + y = 17 + 2x + -2x + -4y Combine like terms: 2x + -2x = 0 -2x + 2xy + y = 17 + 0 + -4y -2x + 2xy + y = 17 + -4y Add '-1y' to each side of the equation. -2x + 2xy + y + -1y = 17 + -4y + -1y Combine like terms: y + -1y = 0 -2x + 2xy + 0 = 17 + -4y + -1y -2x + 2xy = 17 + -4y + -1y Combine like terms: -4y + -1y = -5y -2x + 2xy = 17 + -5y Reorder the terms: -17 + -2x + 2xy + 5y = 17 + -5y + -17 + 5y Reorder the terms: -17 + -2x + 2xy + 5y = 17 + -17 + -5y + 5y Combine like terms: 17 + -17 = 0 -17 + -2x + 2xy + 5y = 0 + -5y + 5y -17 + -2x + 2xy + 5y = -5y + 5y Combine like terms: -5y + 5y = 0 -17 + -2x + 2xy + 5y = 0 The solution to this equation could not be determined.
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