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