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Simplifying 2X(x + -7) + -1(x + 1)(X + -7) = 0 Reorder the terms: 2X(-7 + x) + -1(x + 1)(X + -7) = 0 (-7 * 2X + x * 2X) + -1(x + 1)(X + -7) = 0 (-14X + 2xX) + -1(x + 1)(X + -7) = 0 Reorder the terms: -14X + 2xX + -1(1 + x)(X + -7) = 0 Reorder the terms: -14X + 2xX + -1(1 + x)(-7 + X) = 0 Multiply (1 + x) * (-7 + X) -14X + 2xX + -1(1(-7 + X) + x(-7 + X)) = 0 -14X + 2xX + -1((-7 * 1 + X * 1) + x(-7 + X)) = 0 -14X + 2xX + -1((-7 + 1X) + x(-7 + X)) = 0 -14X + 2xX + -1(-7 + 1X + (-7 * x + X * x)) = 0 -14X + 2xX + -1(-7 + 1X + (-7x + xX)) = 0 -14X + 2xX + -1(-7 + 1X + -7x + xX) = 0 -14X + 2xX + (-7 * -1 + 1X * -1 + -7x * -1 + xX * -1) = 0 -14X + 2xX + (7 + -1X + 7x + -1xX) = 0 Reorder the terms: 7 + -14X + -1X + 7x + 2xX + -1xX = 0 Combine like terms: -14X + -1X = -15X 7 + -15X + 7x + 2xX + -1xX = 0 Combine like terms: 2xX + -1xX = 1xX 7 + -15X + 7x + 1xX = 0 Solving 7 + -15X + 7x + 1xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -15X + 7x + -7 + 1xX = 0 + -7 Reorder the terms: 7 + -7 + -15X + 7x + 1xX = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -15X + 7x + 1xX = 0 + -7 -15X + 7x + 1xX = 0 + -7 Combine like terms: 0 + -7 = -7 -15X + 7x + 1xX = -7 Add '-7x' to each side of the equation. -15X + 7x + -7x + 1xX = -7 + -7x Combine like terms: 7x + -7x = 0 -15X + 0 + 1xX = -7 + -7x -15X + 1xX = -7 + -7x Reorder the terms: 7 + -15X + 7x + 1xX = -7 + -7x + 7 + 7x Reorder the terms: 7 + -15X + 7x + 1xX = -7 + 7 + -7x + 7x Combine like terms: -7 + 7 = 0 7 + -15X + 7x + 1xX = 0 + -7x + 7x 7 + -15X + 7x + 1xX = -7x + 7x Combine like terms: -7x + 7x = 0 7 + -15X + 7x + 1xX = 0 The solution to this equation could not be determined.
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