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Simplifying X(2x + 1) + -1(2x + 1) = 0 Reorder the terms: X(1 + 2x) + -1(2x + 1) = 0 (1 * X + 2x * X) + -1(2x + 1) = 0 (1X + 2xX) + -1(2x + 1) = 0 Reorder the terms: 1X + 2xX + -1(1 + 2x) = 0 1X + 2xX + (1 * -1 + 2x * -1) = 0 1X + 2xX + (-1 + -2x) = 0 Reorder the terms: -1 + 1X + -2x + 2xX = 0 Solving -1 + 1X + -2x + 2xX = 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 + -2x + 1 + 2xX = 0 + 1 Reorder the terms: -1 + 1 + 1X + -2x + 2xX = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1X + -2x + 2xX = 0 + 1 1X + -2x + 2xX = 0 + 1 Combine like terms: 0 + 1 = 1 1X + -2x + 2xX = 1 Add '2x' to each side of the equation. 1X + -2x + 2x + 2xX = 1 + 2x Combine like terms: -2x + 2x = 0 1X + 0 + 2xX = 1 + 2x 1X + 2xX = 1 + 2x Reorder the terms: -1 + 1X + -2x + 2xX = 1 + 2x + -1 + -2x Reorder the terms: -1 + 1X + -2x + 2xX = 1 + -1 + 2x + -2x Combine like terms: 1 + -1 = 0 -1 + 1X + -2x + 2xX = 0 + 2x + -2x -1 + 1X + -2x + 2xX = 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 1X + -2x + 2xX = 0 The solution to this equation could not be determined.
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