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Simplifying (6 + x)(y + 10) = 450 Reorder the terms: (6 + x)(10 + y) = 450 Multiply (6 + x) * (10 + y) (6(10 + y) + x(10 + y)) = 450 ((10 * 6 + y * 6) + x(10 + y)) = 450 ((60 + 6y) + x(10 + y)) = 450 (60 + 6y + (10 * x + y * x)) = 450 (60 + 6y + (10x + xy)) = 450 Reorder the terms: (60 + 10x + xy + 6y) = 450 (60 + 10x + xy + 6y) = 450 Solving 60 + 10x + xy + 6y = 450 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + 10x + xy + -60 + 6y = 450 + -60 Reorder the terms: 60 + -60 + 10x + xy + 6y = 450 + -60 Combine like terms: 60 + -60 = 0 0 + 10x + xy + 6y = 450 + -60 10x + xy + 6y = 450 + -60 Combine like terms: 450 + -60 = 390 10x + xy + 6y = 390 Add '-6y' to each side of the equation. 10x + xy + 6y + -6y = 390 + -6y Combine like terms: 6y + -6y = 0 10x + xy + 0 = 390 + -6y 10x + xy = 390 + -6y Reorder the terms: -390 + 10x + xy + 6y = 390 + -6y + -390 + 6y Reorder the terms: -390 + 10x + xy + 6y = 390 + -390 + -6y + 6y Combine like terms: 390 + -390 = 0 -390 + 10x + xy + 6y = 0 + -6y + 6y -390 + 10x + xy + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 -390 + 10x + xy + 6y = 0 The solution to this equation could not be determined.
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