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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 = -6x (-7 + -6x + x2) = (x + -1)(x + 3) Reorder the terms: -7 + -6x + x2 = (-1 + x)(x + 3) Reorder the terms: -7 + -6x + x2 = (-1 + x)(3 + x) Multiply (-1 + x) * (3 + x) -7 + -6x + x2 = (-1(3 + x) + x(3 + x)) -7 + -6x + x2 = ((3 * -1 + x * -1) + x(3 + x)) -7 + -6x + x2 = ((-3 + -1x) + x(3 + x)) -7 + -6x + x2 = (-3 + -1x + (3 * x + x * x)) -7 + -6x + x2 = (-3 + -1x + (3x + x2)) Combine like terms: -1x + 3x = 2x -7 + -6x + x2 = (-3 + 2x + x2) Add '-1x2' to each side of the equation. -7 + -6x + x2 + -1x2 = -3 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + -6x + 0 = -3 + 2x + x2 + -1x2 -7 + -6x = -3 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + -6x = -3 + 2x + 0 -7 + -6x = -3 + 2x Solving -7 + -6x = -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 + -6x + -2x = -3 + 2x + -2x Combine like terms: -6x + -2x = -8x -7 + -8x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -8x = -3 + 0 -7 + -8x = -3 Add '7' to each side of the equation. -7 + 7 + -8x = -3 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -3 + 7 -8x = -3 + 7 Combine like terms: -3 + 7 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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