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Simplifying 4x(x + 3) = (2x + -5)(2x + 1) Reorder the terms: 4x(3 + x) = (2x + -5)(2x + 1) (3 * 4x + x * 4x) = (2x + -5)(2x + 1) (12x + 4x2) = (2x + -5)(2x + 1) Reorder the terms: 12x + 4x2 = (-5 + 2x)(2x + 1) Reorder the terms: 12x + 4x2 = (-5 + 2x)(1 + 2x) Multiply (-5 + 2x) * (1 + 2x) 12x + 4x2 = (-5(1 + 2x) + 2x * (1 + 2x)) 12x + 4x2 = ((1 * -5 + 2x * -5) + 2x * (1 + 2x)) 12x + 4x2 = ((-5 + -10x) + 2x * (1 + 2x)) 12x + 4x2 = (-5 + -10x + (1 * 2x + 2x * 2x)) 12x + 4x2 = (-5 + -10x + (2x + 4x2)) Combine like terms: -10x + 2x = -8x 12x + 4x2 = (-5 + -8x + 4x2) Add '-4x2' to each side of the equation. 12x + 4x2 + -4x2 = -5 + -8x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 12x + 0 = -5 + -8x + 4x2 + -4x2 12x = -5 + -8x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 12x = -5 + -8x + 0 12x = -5 + -8x Solving 12x = -5 + -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. 12x + 8x = -5 + -8x + 8x Combine like terms: 12x + 8x = 20x 20x = -5 + -8x + 8x Combine like terms: -8x + 8x = 0 20x = -5 + 0 20x = -5 Divide each side by '20'. x = -0.25 Simplifying x = -0.25
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