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Simplifying 5x2 + (2x + -1)(3 + -1X) = 7x + 24 Reorder the terms: 5x2 + (-1 + 2x)(3 + -1X) = 7x + 24 Multiply (-1 + 2x) * (3 + -1X) 5x2 + (-1(3 + -1X) + 2x * (3 + -1X)) = 7x + 24 5x2 + ((3 * -1 + -1X * -1) + 2x * (3 + -1X)) = 7x + 24 5x2 + ((-3 + 1X) + 2x * (3 + -1X)) = 7x + 24 5x2 + (-3 + 1X + (3 * 2x + -1X * 2x)) = 7x + 24 5x2 + (-3 + 1X + (6x + -2xX)) = 7x + 24 5x2 + (-3 + 1X + 6x + -2xX) = 7x + 24 Reorder the terms: -3 + 1X + 6x + -2xX + 5x2 = 7x + 24 Reorder the terms: -3 + 1X + 6x + -2xX + 5x2 = 24 + 7x Solving -3 + 1X + 6x + -2xX + 5x2 = 24 + 7x 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 + 1X + 6x + -2xX + 3 + 5x2 = 24 + 3 + 7x Reorder the terms: -3 + 3 + 1X + 6x + -2xX + 5x2 = 24 + 3 + 7x Combine like terms: -3 + 3 = 0 0 + 1X + 6x + -2xX + 5x2 = 24 + 3 + 7x 1X + 6x + -2xX + 5x2 = 24 + 3 + 7x Combine like terms: 24 + 3 = 27 1X + 6x + -2xX + 5x2 = 27 + 7x Add '-6x' to each side of the equation. 1X + 6x + -2xX + -6x + 5x2 = 27 + 7x + -6x Reorder the terms: 1X + 6x + -6x + -2xX + 5x2 = 27 + 7x + -6x Combine like terms: 6x + -6x = 0 1X + 0 + -2xX + 5x2 = 27 + 7x + -6x 1X + -2xX + 5x2 = 27 + 7x + -6x Combine like terms: 7x + -6x = 1x 1X + -2xX + 5x2 = 27 + 1x Add '-5x2' to each side of the equation. 1X + -2xX + 5x2 + -5x2 = 27 + 1x + -5x2 Combine like terms: 5x2 + -5x2 = 0 1X + -2xX + 0 = 27 + 1x + -5x2 1X + -2xX = 27 + 1x + -5x2 Reorder the terms: -27 + 1X + -1x + -2xX + 5x2 = 27 + 1x + -5x2 + -27 + -1x + 5x2 Reorder the terms: -27 + 1X + -1x + -2xX + 5x2 = 27 + -27 + 1x + -1x + -5x2 + 5x2 Combine like terms: 27 + -27 = 0 -27 + 1X + -1x + -2xX + 5x2 = 0 + 1x + -1x + -5x2 + 5x2 -27 + 1X + -1x + -2xX + 5x2 = 1x + -1x + -5x2 + 5x2 Combine like terms: 1x + -1x = 0 -27 + 1X + -1x + -2xX + 5x2 = 0 + -5x2 + 5x2 -27 + 1X + -1x + -2xX + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -27 + 1X + -1x + -2xX + 5x2 = 0 The solution to this equation could not be determined.
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