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Simplifying (x + -5)(y + 2) = 130 Reorder the terms: (-5 + x)(y + 2) = 130 Reorder the terms: (-5 + x)(2 + y) = 130 Multiply (-5 + x) * (2 + y) (-5(2 + y) + x(2 + y)) = 130 ((2 * -5 + y * -5) + x(2 + y)) = 130 ((-10 + -5y) + x(2 + y)) = 130 (-10 + -5y + (2 * x + y * x)) = 130 (-10 + -5y + (2x + xy)) = 130 Reorder the terms: (-10 + 2x + xy + -5y) = 130 (-10 + 2x + xy + -5y) = 130 Solving -10 + 2x + xy + -5y = 130 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2x + xy + 10 + -5y = 130 + 10 Reorder the terms: -10 + 10 + 2x + xy + -5y = 130 + 10 Combine like terms: -10 + 10 = 0 0 + 2x + xy + -5y = 130 + 10 2x + xy + -5y = 130 + 10 Combine like terms: 130 + 10 = 140 2x + xy + -5y = 140 Add '5y' to each side of the equation. 2x + xy + -5y + 5y = 140 + 5y Combine like terms: -5y + 5y = 0 2x + xy + 0 = 140 + 5y 2x + xy = 140 + 5y Reorder the terms: -140 + 2x + xy + -5y = 140 + 5y + -140 + -5y Reorder the terms: -140 + 2x + xy + -5y = 140 + -140 + 5y + -5y Combine like terms: 140 + -140 = 0 -140 + 2x + xy + -5y = 0 + 5y + -5y -140 + 2x + xy + -5y = 5y + -5y Combine like terms: 5y + -5y = 0 -140 + 2x + xy + -5y = 0 The solution to this equation could not be determined.
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