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Simplifying (2x + 3)(2x + -1) = 4x(x + -2) Reorder the terms: (3 + 2x)(2x + -1) = 4x(x + -2) Reorder the terms: (3 + 2x)(-1 + 2x) = 4x(x + -2) Multiply (3 + 2x) * (-1 + 2x) (3(-1 + 2x) + 2x * (-1 + 2x)) = 4x(x + -2) ((-1 * 3 + 2x * 3) + 2x * (-1 + 2x)) = 4x(x + -2) ((-3 + 6x) + 2x * (-1 + 2x)) = 4x(x + -2) (-3 + 6x + (-1 * 2x + 2x * 2x)) = 4x(x + -2) (-3 + 6x + (-2x + 4x2)) = 4x(x + -2) Combine like terms: 6x + -2x = 4x (-3 + 4x + 4x2) = 4x(x + -2) Reorder the terms: -3 + 4x + 4x2 = 4x(-2 + x) -3 + 4x + 4x2 = (-2 * 4x + x * 4x) -3 + 4x + 4x2 = (-8x + 4x2) Add '-4x2' to each side of the equation. -3 + 4x + 4x2 + -4x2 = -8x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -3 + 4x + 0 = -8x + 4x2 + -4x2 -3 + 4x = -8x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -3 + 4x = -8x + 0 -3 + 4x = -8x Solving -3 + 4x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -3 + 4x + 8x = -8x + 8x Combine like terms: 4x + 8x = 12x -3 + 12x = -8x + 8x Combine like terms: -8x + 8x = 0 -3 + 12x = 0 Add '3' to each side of the equation. -3 + 3 + 12x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 0 + 3 12x = 0 + 3 Combine like terms: 0 + 3 = 3 12x = 3 Divide each side by '12'. x = 0.25 Simplifying x = 0.25
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