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Simplifying (X + 1)(2x + -3) = x2 + x Reorder the terms: (1 + X)(2x + -3) = x2 + x Reorder the terms: (1 + X)(-3 + 2x) = x2 + x Multiply (1 + X) * (-3 + 2x) (1(-3 + 2x) + X(-3 + 2x)) = x2 + x ((-3 * 1 + 2x * 1) + X(-3 + 2x)) = x2 + x ((-3 + 2x) + X(-3 + 2x)) = x2 + x (-3 + 2x + (-3 * X + 2x * X)) = x2 + x (-3 + 2x + (-3X + 2xX)) = x2 + x Reorder the terms: (-3 + -3X + 2x + 2xX) = x2 + x (-3 + -3X + 2x + 2xX) = x2 + x Reorder the terms: -3 + -3X + 2x + 2xX = x + x2 Solving -3 + -3X + 2x + 2xX = x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -3X + 2x + 3 + 2xX = x + 3 + x2 Reorder the terms: -3 + 3 + -3X + 2x + 2xX = x + 3 + x2 Combine like terms: -3 + 3 = 0 0 + -3X + 2x + 2xX = x + 3 + x2 -3X + 2x + 2xX = x + 3 + x2 Reorder the terms: -3X + 2x + 2xX = 3 + x + x2 Add '-2x' to each side of the equation. -3X + 2x + -2x + 2xX = 3 + x + -2x + x2 Combine like terms: 2x + -2x = 0 -3X + 0 + 2xX = 3 + x + -2x + x2 -3X + 2xX = 3 + x + -2x + x2 Combine like terms: x + -2x = -1x -3X + 2xX = 3 + -1x + x2 Reorder the terms: -3 + -3X + x + 2xX + -1x2 = 3 + -1x + x2 + -3 + x + -1x2 Reorder the terms: -3 + -3X + x + 2xX + -1x2 = 3 + -3 + -1x + x + x2 + -1x2 Combine like terms: 3 + -3 = 0 -3 + -3X + x + 2xX + -1x2 = 0 + -1x + x + x2 + -1x2 -3 + -3X + x + 2xX + -1x2 = -1x + x + x2 + -1x2 Combine like terms: -1x + x = 0 -3 + -3X + x + 2xX + -1x2 = 0 + x2 + -1x2 -3 + -3X + x + 2xX + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + -3X + x + 2xX + -1x2 = 0 The solution to this equation could not be determined.
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