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Simplifying (x + 4)(x + -5) = x(x + -3) Reorder the terms: (4 + x)(x + -5) = x(x + -3) Reorder the terms: (4 + x)(-5 + x) = x(x + -3) Multiply (4 + x) * (-5 + x) (4(-5 + x) + x(-5 + x)) = x(x + -3) ((-5 * 4 + x * 4) + x(-5 + x)) = x(x + -3) ((-20 + 4x) + x(-5 + x)) = x(x + -3) (-20 + 4x + (-5 * x + x * x)) = x(x + -3) (-20 + 4x + (-5x + x2)) = x(x + -3) Combine like terms: 4x + -5x = -1x (-20 + -1x + x2) = x(x + -3) Reorder the terms: -20 + -1x + x2 = x(-3 + x) -20 + -1x + x2 = (-3 * x + x * x) -20 + -1x + x2 = (-3x + x2) Add '-1x2' to each side of the equation. -20 + -1x + x2 + -1x2 = -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20 + -1x + 0 = -3x + x2 + -1x2 -20 + -1x = -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20 + -1x = -3x + 0 -20 + -1x = -3x Solving -20 + -1x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -20 + -1x + 3x = -3x + 3x Combine like terms: -1x + 3x = 2x -20 + 2x = -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 2x = 0 Add '20' to each side of the equation. -20 + 20 + 2x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 0 + 20 2x = 0 + 20 Combine like terms: 0 + 20 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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