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Simplifying (2x + 4)(2x + -5) = (4x + -3)(x + 2) Reorder the terms: (4 + 2x)(2x + -5) = (4x + -3)(x + 2) Reorder the terms: (4 + 2x)(-5 + 2x) = (4x + -3)(x + 2) Multiply (4 + 2x) * (-5 + 2x) (4(-5 + 2x) + 2x * (-5 + 2x)) = (4x + -3)(x + 2) ((-5 * 4 + 2x * 4) + 2x * (-5 + 2x)) = (4x + -3)(x + 2) ((-20 + 8x) + 2x * (-5 + 2x)) = (4x + -3)(x + 2) (-20 + 8x + (-5 * 2x + 2x * 2x)) = (4x + -3)(x + 2) (-20 + 8x + (-10x + 4x2)) = (4x + -3)(x + 2) Combine like terms: 8x + -10x = -2x (-20 + -2x + 4x2) = (4x + -3)(x + 2) Reorder the terms: -20 + -2x + 4x2 = (-3 + 4x)(x + 2) Reorder the terms: -20 + -2x + 4x2 = (-3 + 4x)(2 + x) Multiply (-3 + 4x) * (2 + x) -20 + -2x + 4x2 = (-3(2 + x) + 4x * (2 + x)) -20 + -2x + 4x2 = ((2 * -3 + x * -3) + 4x * (2 + x)) -20 + -2x + 4x2 = ((-6 + -3x) + 4x * (2 + x)) -20 + -2x + 4x2 = (-6 + -3x + (2 * 4x + x * 4x)) -20 + -2x + 4x2 = (-6 + -3x + (8x + 4x2)) Combine like terms: -3x + 8x = 5x -20 + -2x + 4x2 = (-6 + 5x + 4x2) Add '-4x2' to each side of the equation. -20 + -2x + 4x2 + -4x2 = -6 + 5x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -20 + -2x + 0 = -6 + 5x + 4x2 + -4x2 -20 + -2x = -6 + 5x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -20 + -2x = -6 + 5x + 0 -20 + -2x = -6 + 5x Solving -20 + -2x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20 + -2x + -5x = -6 + 5x + -5x Combine like terms: -2x + -5x = -7x -20 + -7x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + -7x = -6 + 0 -20 + -7x = -6 Add '20' to each side of the equation. -20 + 20 + -7x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + -7x = -6 + 20 -7x = -6 + 20 Combine like terms: -6 + 20 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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