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Simplifying (7x + 2y)(-7x + 2) = 7(x + y) Reorder the terms: (7x + 2y)(2 + -7x) = 7(x + y) Multiply (7x + 2y) * (2 + -7x) (7x * (2 + -7x) + 2y * (2 + -7x)) = 7(x + y) ((2 * 7x + -7x * 7x) + 2y * (2 + -7x)) = 7(x + y) ((14x + -49x2) + 2y * (2 + -7x)) = 7(x + y) (14x + -49x2 + (2 * 2y + -7x * 2y)) = 7(x + y) Reorder the terms: (14x + -49x2 + (-14xy + 4y)) = 7(x + y) (14x + -49x2 + (-14xy + 4y)) = 7(x + y) Reorder the terms: (14x + -14xy + -49x2 + 4y) = 7(x + y) (14x + -14xy + -49x2 + 4y) = 7(x + y) 14x + -14xy + -49x2 + 4y = (x * 7 + y * 7) 14x + -14xy + -49x2 + 4y = (7x + 7y) Solving 14x + -14xy + -49x2 + 4y = 7x + 7y Solving for variable 'x'. Reorder the terms: 14x + -7x + -14xy + -49x2 + 4y + -7y = 7x + 7y + -7x + -7y Combine like terms: 14x + -7x = 7x 7x + -14xy + -49x2 + 4y + -7y = 7x + 7y + -7x + -7y Combine like terms: 4y + -7y = -3y 7x + -14xy + -49x2 + -3y = 7x + 7y + -7x + -7y Reorder the terms: 7x + -14xy + -49x2 + -3y = 7x + -7x + 7y + -7y Combine like terms: 7x + -7x = 0 7x + -14xy + -49x2 + -3y = 0 + 7y + -7y 7x + -14xy + -49x2 + -3y = 7y + -7y Combine like terms: 7y + -7y = 0 7x + -14xy + -49x2 + -3y = 0 The solution to this equation could not be determined.
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