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Simplifying (4x + -3)(3x + -3) = (12x + 1)(x + -4) Reorder the terms: (-3 + 4x)(3x + -3) = (12x + 1)(x + -4) Reorder the terms: (-3 + 4x)(-3 + 3x) = (12x + 1)(x + -4) Multiply (-3 + 4x) * (-3 + 3x) (-3(-3 + 3x) + 4x * (-3 + 3x)) = (12x + 1)(x + -4) ((-3 * -3 + 3x * -3) + 4x * (-3 + 3x)) = (12x + 1)(x + -4) ((9 + -9x) + 4x * (-3 + 3x)) = (12x + 1)(x + -4) (9 + -9x + (-3 * 4x + 3x * 4x)) = (12x + 1)(x + -4) (9 + -9x + (-12x + 12x2)) = (12x + 1)(x + -4) Combine like terms: -9x + -12x = -21x (9 + -21x + 12x2) = (12x + 1)(x + -4) Reorder the terms: 9 + -21x + 12x2 = (1 + 12x)(x + -4) Reorder the terms: 9 + -21x + 12x2 = (1 + 12x)(-4 + x) Multiply (1 + 12x) * (-4 + x) 9 + -21x + 12x2 = (1(-4 + x) + 12x * (-4 + x)) 9 + -21x + 12x2 = ((-4 * 1 + x * 1) + 12x * (-4 + x)) 9 + -21x + 12x2 = ((-4 + 1x) + 12x * (-4 + x)) 9 + -21x + 12x2 = (-4 + 1x + (-4 * 12x + x * 12x)) 9 + -21x + 12x2 = (-4 + 1x + (-48x + 12x2)) Combine like terms: 1x + -48x = -47x 9 + -21x + 12x2 = (-4 + -47x + 12x2) Add '-12x2' to each side of the equation. 9 + -21x + 12x2 + -12x2 = -4 + -47x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 9 + -21x + 0 = -4 + -47x + 12x2 + -12x2 9 + -21x = -4 + -47x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 9 + -21x = -4 + -47x + 0 9 + -21x = -4 + -47x Solving 9 + -21x = -4 + -47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47x' to each side of the equation. 9 + -21x + 47x = -4 + -47x + 47x Combine like terms: -21x + 47x = 26x 9 + 26x = -4 + -47x + 47x Combine like terms: -47x + 47x = 0 9 + 26x = -4 + 0 9 + 26x = -4 Add '-9' to each side of the equation. 9 + -9 + 26x = -4 + -9 Combine like terms: 9 + -9 = 0 0 + 26x = -4 + -9 26x = -4 + -9 Combine like terms: -4 + -9 = -13 26x = -13 Divide each side by '26'. x = -0.5 Simplifying x = -0.5
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