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Simplifying (X + -6)(x + 5) = 180 Reorder the terms: (-6 + X)(x + 5) = 180 Reorder the terms: (-6 + X)(5 + x) = 180 Multiply (-6 + X) * (5 + x) (-6(5 + x) + X(5 + x)) = 180 ((5 * -6 + x * -6) + X(5 + x)) = 180 ((-30 + -6x) + X(5 + x)) = 180 (-30 + -6x + (5 * X + x * X)) = 180 (-30 + -6x + (5X + xX)) = 180 Reorder the terms: (-30 + 5X + -6x + xX) = 180 (-30 + 5X + -6x + xX) = 180 Solving -30 + 5X + -6x + xX = 180 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 5X + -6x + 30 + xX = 180 + 30 Reorder the terms: -30 + 30 + 5X + -6x + xX = 180 + 30 Combine like terms: -30 + 30 = 0 0 + 5X + -6x + xX = 180 + 30 5X + -6x + xX = 180 + 30 Combine like terms: 180 + 30 = 210 5X + -6x + xX = 210 Add '6x' to each side of the equation. 5X + -6x + 6x + xX = 210 + 6x Combine like terms: -6x + 6x = 0 5X + 0 + xX = 210 + 6x 5X + xX = 210 + 6x Reorder the terms: -210 + 5X + -6x + xX = 210 + 6x + -210 + -6x Reorder the terms: -210 + 5X + -6x + xX = 210 + -210 + 6x + -6x Combine like terms: 210 + -210 = 0 -210 + 5X + -6x + xX = 0 + 6x + -6x -210 + 5X + -6x + xX = 6x + -6x Combine like terms: 6x + -6x = 0 -210 + 5X + -6x + xX = 0 The solution to this equation could not be determined.
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