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Simplifying (X)(x + 10) = (x + 2)(x + 7) Reorder the terms: X(10 + x) = (x + 2)(x + 7) (10 * X + x * X) = (x + 2)(x + 7) (10X + xX) = (x + 2)(x + 7) Reorder the terms: 10X + xX = (2 + x)(x + 7) Reorder the terms: 10X + xX = (2 + x)(7 + x) Multiply (2 + x) * (7 + x) 10X + xX = (2(7 + x) + x(7 + x)) 10X + xX = ((7 * 2 + x * 2) + x(7 + x)) 10X + xX = ((14 + 2x) + x(7 + x)) 10X + xX = (14 + 2x + (7 * x + x * x)) 10X + xX = (14 + 2x + (7x + x2)) Combine like terms: 2x + 7x = 9x 10X + xX = (14 + 9x + x2) Solving 10X + xX = 14 + 9x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: -14 + 10X + -9x + xX + -1x2 = 14 + 9x + x2 + -14 + -9x + -1x2 Reorder the terms: -14 + 10X + -9x + xX + -1x2 = 14 + -14 + 9x + -9x + x2 + -1x2 Combine like terms: 14 + -14 = 0 -14 + 10X + -9x + xX + -1x2 = 0 + 9x + -9x + x2 + -1x2 -14 + 10X + -9x + xX + -1x2 = 9x + -9x + x2 + -1x2 Combine like terms: 9x + -9x = 0 -14 + 10X + -9x + xX + -1x2 = 0 + x2 + -1x2 -14 + 10X + -9x + xX + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -14 + 10X + -9x + xX + -1x2 = 0 The solution to this equation could not be determined.
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