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Simplifying (X + -7)(X + -4) = (X + 4)(X + 9) Reorder the terms: (-7 + X)(X + -4) = (X + 4)(X + 9) Reorder the terms: (-7 + X)(-4 + X) = (X + 4)(X + 9) Multiply (-7 + X) * (-4 + X) (-7(-4 + X) + X(-4 + X)) = (X + 4)(X + 9) ((-4 * -7 + X * -7) + X(-4 + X)) = (X + 4)(X + 9) ((28 + -7X) + X(-4 + X)) = (X + 4)(X + 9) (28 + -7X + (-4 * X + X * X)) = (X + 4)(X + 9) (28 + -7X + (-4X + X2)) = (X + 4)(X + 9) Combine like terms: -7X + -4X = -11X (28 + -11X + X2) = (X + 4)(X + 9) Reorder the terms: 28 + -11X + X2 = (4 + X)(X + 9) Reorder the terms: 28 + -11X + X2 = (4 + X)(9 + X) Multiply (4 + X) * (9 + X) 28 + -11X + X2 = (4(9 + X) + X(9 + X)) 28 + -11X + X2 = ((9 * 4 + X * 4) + X(9 + X)) 28 + -11X + X2 = ((36 + 4X) + X(9 + X)) 28 + -11X + X2 = (36 + 4X + (9 * X + X * X)) 28 + -11X + X2 = (36 + 4X + (9X + X2)) Combine like terms: 4X + 9X = 13X 28 + -11X + X2 = (36 + 13X + X2) Add '-1X2' to each side of the equation. 28 + -11X + X2 + -1X2 = 36 + 13X + X2 + -1X2 Combine like terms: X2 + -1X2 = 0 28 + -11X + 0 = 36 + 13X + X2 + -1X2 28 + -11X = 36 + 13X + X2 + -1X2 Combine like terms: X2 + -1X2 = 0 28 + -11X = 36 + 13X + 0 28 + -11X = 36 + 13X Solving 28 + -11X = 36 + 13X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-13X' to each side of the equation. 28 + -11X + -13X = 36 + 13X + -13X Combine like terms: -11X + -13X = -24X 28 + -24X = 36 + 13X + -13X Combine like terms: 13X + -13X = 0 28 + -24X = 36 + 0 28 + -24X = 36 Add '-28' to each side of the equation. 28 + -28 + -24X = 36 + -28 Combine like terms: 28 + -28 = 0 0 + -24X = 36 + -28 -24X = 36 + -28 Combine like terms: 36 + -28 = 8 -24X = 8 Divide each side by '-24'. X = -0.3333333333 Simplifying X = -0.3333333333
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