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Simplifying X(2x + 5) = (2x + 3)(x + 4) Reorder the terms: X(5 + 2x) = (2x + 3)(x + 4) (5 * X + 2x * X) = (2x + 3)(x + 4) (5X + 2xX) = (2x + 3)(x + 4) Reorder the terms: 5X + 2xX = (3 + 2x)(x + 4) Reorder the terms: 5X + 2xX = (3 + 2x)(4 + x) Multiply (3 + 2x) * (4 + x) 5X + 2xX = (3(4 + x) + 2x * (4 + x)) 5X + 2xX = ((4 * 3 + x * 3) + 2x * (4 + x)) 5X + 2xX = ((12 + 3x) + 2x * (4 + x)) 5X + 2xX = (12 + 3x + (4 * 2x + x * 2x)) 5X + 2xX = (12 + 3x + (8x + 2x2)) Combine like terms: 3x + 8x = 11x 5X + 2xX = (12 + 11x + 2x2) Solving 5X + 2xX = 12 + 11x + 2x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: -12 + 5X + -11x + 2xX + -2x2 = 12 + 11x + 2x2 + -12 + -11x + -2x2 Reorder the terms: -12 + 5X + -11x + 2xX + -2x2 = 12 + -12 + 11x + -11x + 2x2 + -2x2 Combine like terms: 12 + -12 = 0 -12 + 5X + -11x + 2xX + -2x2 = 0 + 11x + -11x + 2x2 + -2x2 -12 + 5X + -11x + 2xX + -2x2 = 11x + -11x + 2x2 + -2x2 Combine like terms: 11x + -11x = 0 -12 + 5X + -11x + 2xX + -2x2 = 0 + 2x2 + -2x2 -12 + 5X + -11x + 2xX + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -12 + 5X + -11x + 2xX + -2x2 = 0 The solution to this equation could not be determined.
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