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Simplifying (x + -4)(x + 5) = (x + -3)(x + -2) Reorder the terms: (-4 + x)(x + 5) = (x + -3)(x + -2) Reorder the terms: (-4 + x)(5 + x) = (x + -3)(x + -2) Multiply (-4 + x) * (5 + x) (-4(5 + x) + x(5 + x)) = (x + -3)(x + -2) ((5 * -4 + x * -4) + x(5 + x)) = (x + -3)(x + -2) ((-20 + -4x) + x(5 + x)) = (x + -3)(x + -2) (-20 + -4x + (5 * x + x * x)) = (x + -3)(x + -2) (-20 + -4x + (5x + x2)) = (x + -3)(x + -2) Combine like terms: -4x + 5x = 1x (-20 + 1x + x2) = (x + -3)(x + -2) Reorder the terms: -20 + 1x + x2 = (-3 + x)(x + -2) Reorder the terms: -20 + 1x + x2 = (-3 + x)(-2 + x) Multiply (-3 + x) * (-2 + x) -20 + 1x + x2 = (-3(-2 + x) + x(-2 + x)) -20 + 1x + x2 = ((-2 * -3 + x * -3) + x(-2 + x)) -20 + 1x + x2 = ((6 + -3x) + x(-2 + x)) -20 + 1x + x2 = (6 + -3x + (-2 * x + x * x)) -20 + 1x + x2 = (6 + -3x + (-2x + x2)) Combine like terms: -3x + -2x = -5x -20 + 1x + x2 = (6 + -5x + x2) Add '-1x2' to each side of the equation. -20 + 1x + x2 + -1x2 = 6 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20 + 1x + 0 = 6 + -5x + x2 + -1x2 -20 + 1x = 6 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20 + 1x = 6 + -5x + 0 -20 + 1x = 6 + -5x Solving -20 + 1x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -20 + 1x + 5x = 6 + -5x + 5x Combine like terms: 1x + 5x = 6x -20 + 6x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 -20 + 6x = 6 + 0 -20 + 6x = 6 Add '20' to each side of the equation. -20 + 20 + 6x = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 6 + 20 6x = 6 + 20 Combine like terms: 6 + 20 = 26 6x = 26 Divide each side by '6'. x = 4.333333333 Simplifying x = 4.333333333
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