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Simplifying (4x + -1)(x + 3) = (x + -7)(4x + 2) Reorder the terms: (-1 + 4x)(x + 3) = (x + -7)(4x + 2) Reorder the terms: (-1 + 4x)(3 + x) = (x + -7)(4x + 2) Multiply (-1 + 4x) * (3 + x) (-1(3 + x) + 4x * (3 + x)) = (x + -7)(4x + 2) ((3 * -1 + x * -1) + 4x * (3 + x)) = (x + -7)(4x + 2) ((-3 + -1x) + 4x * (3 + x)) = (x + -7)(4x + 2) (-3 + -1x + (3 * 4x + x * 4x)) = (x + -7)(4x + 2) (-3 + -1x + (12x + 4x2)) = (x + -7)(4x + 2) Combine like terms: -1x + 12x = 11x (-3 + 11x + 4x2) = (x + -7)(4x + 2) Reorder the terms: -3 + 11x + 4x2 = (-7 + x)(4x + 2) Reorder the terms: -3 + 11x + 4x2 = (-7 + x)(2 + 4x) Multiply (-7 + x) * (2 + 4x) -3 + 11x + 4x2 = (-7(2 + 4x) + x(2 + 4x)) -3 + 11x + 4x2 = ((2 * -7 + 4x * -7) + x(2 + 4x)) -3 + 11x + 4x2 = ((-14 + -28x) + x(2 + 4x)) -3 + 11x + 4x2 = (-14 + -28x + (2 * x + 4x * x)) -3 + 11x + 4x2 = (-14 + -28x + (2x + 4x2)) Combine like terms: -28x + 2x = -26x -3 + 11x + 4x2 = (-14 + -26x + 4x2) Add '-4x2' to each side of the equation. -3 + 11x + 4x2 + -4x2 = -14 + -26x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -3 + 11x + 0 = -14 + -26x + 4x2 + -4x2 -3 + 11x = -14 + -26x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -3 + 11x = -14 + -26x + 0 -3 + 11x = -14 + -26x Solving -3 + 11x = -14 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -3 + 11x + 26x = -14 + -26x + 26x Combine like terms: 11x + 26x = 37x -3 + 37x = -14 + -26x + 26x Combine like terms: -26x + 26x = 0 -3 + 37x = -14 + 0 -3 + 37x = -14 Add '3' to each side of the equation. -3 + 3 + 37x = -14 + 3 Combine like terms: -3 + 3 = 0 0 + 37x = -14 + 3 37x = -14 + 3 Combine like terms: -14 + 3 = -11 37x = -11 Divide each side by '37'. x = -0.2972972973 Simplifying x = -0.2972972973
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