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Simplifying (x + -1)(x + -7) = (x + 1)(x + -3) Reorder the terms: (-1 + x)(x + -7) = (x + 1)(x + -3) Reorder the terms: (-1 + x)(-7 + x) = (x + 1)(x + -3) Multiply (-1 + x) * (-7 + x) (-1(-7 + x) + x(-7 + x)) = (x + 1)(x + -3) ((-7 * -1 + x * -1) + x(-7 + x)) = (x + 1)(x + -3) ((7 + -1x) + x(-7 + x)) = (x + 1)(x + -3) (7 + -1x + (-7 * x + x * x)) = (x + 1)(x + -3) (7 + -1x + (-7x + x2)) = (x + 1)(x + -3) Combine like terms: -1x + -7x = -8x (7 + -8x + x2) = (x + 1)(x + -3) Reorder the terms: 7 + -8x + x2 = (1 + x)(x + -3) Reorder the terms: 7 + -8x + x2 = (1 + x)(-3 + x) Multiply (1 + x) * (-3 + x) 7 + -8x + x2 = (1(-3 + x) + x(-3 + x)) 7 + -8x + x2 = ((-3 * 1 + x * 1) + x(-3 + x)) 7 + -8x + x2 = ((-3 + 1x) + x(-3 + x)) 7 + -8x + x2 = (-3 + 1x + (-3 * x + x * x)) 7 + -8x + x2 = (-3 + 1x + (-3x + x2)) Combine like terms: 1x + -3x = -2x 7 + -8x + x2 = (-3 + -2x + x2) Add '-1x2' to each side of the equation. 7 + -8x + x2 + -1x2 = -3 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7 + -8x + 0 = -3 + -2x + x2 + -1x2 7 + -8x = -3 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7 + -8x = -3 + -2x + 0 7 + -8x = -3 + -2x Solving 7 + -8x = -3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + -8x + 2x = -3 + -2x + 2x Combine like terms: -8x + 2x = -6x 7 + -6x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + -6x = -3 + 0 7 + -6x = -3 Add '-7' to each side of the equation. 7 + -7 + -6x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -3 + -7 -6x = -3 + -7 Combine like terms: -3 + -7 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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