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Simplifying (y + 5)(x + -3) = 7 Reorder the terms: (5 + y)(x + -3) = 7 Reorder the terms: (5 + y)(-3 + x) = 7 Multiply (5 + y) * (-3 + x) (5(-3 + x) + y(-3 + x)) = 7 ((-3 * 5 + x * 5) + y(-3 + x)) = 7 ((-15 + 5x) + y(-3 + x)) = 7 (-15 + 5x + (-3 * y + x * y)) = 7 Reorder the terms: (-15 + 5x + (xy + -3y)) = 7 (-15 + 5x + (xy + -3y)) = 7 (-15 + 5x + xy + -3y) = 7 Solving -15 + 5x + xy + -3y = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 5x + xy + 15 + -3y = 7 + 15 Reorder the terms: -15 + 15 + 5x + xy + -3y = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 5x + xy + -3y = 7 + 15 5x + xy + -3y = 7 + 15 Combine like terms: 7 + 15 = 22 5x + xy + -3y = 22 Add '3y' to each side of the equation. 5x + xy + -3y + 3y = 22 + 3y Combine like terms: -3y + 3y = 0 5x + xy + 0 = 22 + 3y 5x + xy = 22 + 3y Reorder the terms: -22 + 5x + xy + -3y = 22 + 3y + -22 + -3y Reorder the terms: -22 + 5x + xy + -3y = 22 + -22 + 3y + -3y Combine like terms: 22 + -22 = 0 -22 + 5x + xy + -3y = 0 + 3y + -3y -22 + 5x + xy + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 -22 + 5x + xy + -3y = 0 The solution to this equation could not be determined.
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