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Simplifying 4x(x + 3) + 3 = (2x + -3)(2x + 3) Reorder the terms: 4x(3 + x) + 3 = (2x + -3)(2x + 3) (3 * 4x + x * 4x) + 3 = (2x + -3)(2x + 3) (12x + 4x2) + 3 = (2x + -3)(2x + 3) Reorder the terms: 3 + 12x + 4x2 = (2x + -3)(2x + 3) Reorder the terms: 3 + 12x + 4x2 = (-3 + 2x)(2x + 3) Reorder the terms: 3 + 12x + 4x2 = (-3 + 2x)(3 + 2x) Multiply (-3 + 2x) * (3 + 2x) 3 + 12x + 4x2 = (-3(3 + 2x) + 2x * (3 + 2x)) 3 + 12x + 4x2 = ((3 * -3 + 2x * -3) + 2x * (3 + 2x)) 3 + 12x + 4x2 = ((-9 + -6x) + 2x * (3 + 2x)) 3 + 12x + 4x2 = (-9 + -6x + (3 * 2x + 2x * 2x)) 3 + 12x + 4x2 = (-9 + -6x + (6x + 4x2)) Combine like terms: -6x + 6x = 0 3 + 12x + 4x2 = (-9 + 0 + 4x2) 3 + 12x + 4x2 = (-9 + 4x2) Add '-4x2' to each side of the equation. 3 + 12x + 4x2 + -4x2 = -9 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 3 + 12x + 0 = -9 + 4x2 + -4x2 3 + 12x = -9 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 3 + 12x = -9 + 0 3 + 12x = -9 Solving 3 + 12x = -9 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 + -3 + 12x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = -9 + -3 12x = -9 + -3 Combine like terms: -9 + -3 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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