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Simplifying (3x + -1)(3x + -3) = (9x + 3)(x + -5) Reorder the terms: (-1 + 3x)(3x + -3) = (9x + 3)(x + -5) Reorder the terms: (-1 + 3x)(-3 + 3x) = (9x + 3)(x + -5) Multiply (-1 + 3x) * (-3 + 3x) (-1(-3 + 3x) + 3x * (-3 + 3x)) = (9x + 3)(x + -5) ((-3 * -1 + 3x * -1) + 3x * (-3 + 3x)) = (9x + 3)(x + -5) ((3 + -3x) + 3x * (-3 + 3x)) = (9x + 3)(x + -5) (3 + -3x + (-3 * 3x + 3x * 3x)) = (9x + 3)(x + -5) (3 + -3x + (-9x + 9x2)) = (9x + 3)(x + -5) Combine like terms: -3x + -9x = -12x (3 + -12x + 9x2) = (9x + 3)(x + -5) Reorder the terms: 3 + -12x + 9x2 = (3 + 9x)(x + -5) Reorder the terms: 3 + -12x + 9x2 = (3 + 9x)(-5 + x) Multiply (3 + 9x) * (-5 + x) 3 + -12x + 9x2 = (3(-5 + x) + 9x * (-5 + x)) 3 + -12x + 9x2 = ((-5 * 3 + x * 3) + 9x * (-5 + x)) 3 + -12x + 9x2 = ((-15 + 3x) + 9x * (-5 + x)) 3 + -12x + 9x2 = (-15 + 3x + (-5 * 9x + x * 9x)) 3 + -12x + 9x2 = (-15 + 3x + (-45x + 9x2)) Combine like terms: 3x + -45x = -42x 3 + -12x + 9x2 = (-15 + -42x + 9x2) Add '-9x2' to each side of the equation. 3 + -12x + 9x2 + -9x2 = -15 + -42x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 3 + -12x + 0 = -15 + -42x + 9x2 + -9x2 3 + -12x = -15 + -42x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 3 + -12x = -15 + -42x + 0 3 + -12x = -15 + -42x Solving 3 + -12x = -15 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 3 + -12x + 42x = -15 + -42x + 42x Combine like terms: -12x + 42x = 30x 3 + 30x = -15 + -42x + 42x Combine like terms: -42x + 42x = 0 3 + 30x = -15 + 0 3 + 30x = -15 Add '-3' to each side of the equation. 3 + -3 + 30x = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 30x = -15 + -3 30x = -15 + -3 Combine like terms: -15 + -3 = -18 30x = -18 Divide each side by '30'. x = -0.6 Simplifying x = -0.6
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