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Simplifying 7(x + -1y) + y(x + -1y) = 0 (x * 7 + -1y * 7) + y(x + -1y) = 0 (7x + -7y) + y(x + -1y) = 0 7x + -7y + (x * y + -1y * y) = 0 7x + -7y + (xy + -1y2) = 0 Reorder the terms: 7x + xy + -7y + -1y2 = 0 Solving 7x + xy + -7y + -1y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 7x + xy + -7y + 7y + -1y2 = 0 + 7y Combine like terms: -7y + 7y = 0 7x + xy + 0 + -1y2 = 0 + 7y 7x + xy + -1y2 = 0 + 7y Remove the zero: 7x + xy + -1y2 = 7y Add 'y2' to each side of the equation. 7x + xy + -1y2 + y2 = 7y + y2 Combine like terms: -1y2 + y2 = 0 7x + xy + 0 = 7y + y2 7x + xy = 7y + y2 Reorder the terms: 7x + xy + -7y + -1y2 = 7y + -7y + y2 + -1y2 Combine like terms: 7y + -7y = 0 7x + xy + -7y + -1y2 = 0 + y2 + -1y2 7x + xy + -7y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 7x + xy + -7y + -1y2 = 0 The solution to this equation could not be determined.
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