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Simplifying (y + -7)(x + -5) = 7 Reorder the terms: (-7 + y)(x + -5) = 7 Reorder the terms: (-7 + y)(-5 + x) = 7 Multiply (-7 + y) * (-5 + x) (-7(-5 + x) + y(-5 + x)) = 7 ((-5 * -7 + x * -7) + y(-5 + x)) = 7 ((35 + -7x) + y(-5 + x)) = 7 (35 + -7x + (-5 * y + x * y)) = 7 Reorder the terms: (35 + -7x + (xy + -5y)) = 7 (35 + -7x + (xy + -5y)) = 7 (35 + -7x + xy + -5y) = 7 Solving 35 + -7x + xy + -5y = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -7x + xy + -35 + -5y = 7 + -35 Reorder the terms: 35 + -35 + -7x + xy + -5y = 7 + -35 Combine like terms: 35 + -35 = 0 0 + -7x + xy + -5y = 7 + -35 -7x + xy + -5y = 7 + -35 Combine like terms: 7 + -35 = -28 -7x + xy + -5y = -28 Add '5y' to each side of the equation. -7x + xy + -5y + 5y = -28 + 5y Combine like terms: -5y + 5y = 0 -7x + xy + 0 = -28 + 5y -7x + xy = -28 + 5y Reorder the terms: 28 + -7x + xy + -5y = -28 + 5y + 28 + -5y Reorder the terms: 28 + -7x + xy + -5y = -28 + 28 + 5y + -5y Combine like terms: -28 + 28 = 0 28 + -7x + xy + -5y = 0 + 5y + -5y 28 + -7x + xy + -5y = 5y + -5y Combine like terms: 5y + -5y = 0 28 + -7x + xy + -5y = 0 The solution to this equation could not be determined.
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