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Simplifying (x + -1)(x + -5) = (x2) + 4x Reorder the terms: (-1 + x)(x + -5) = (x2) + 4x Reorder the terms: (-1 + x)(-5 + x) = (x2) + 4x Multiply (-1 + x) * (-5 + x) (-1(-5 + x) + x(-5 + x)) = (x2) + 4x ((-5 * -1 + x * -1) + x(-5 + x)) = (x2) + 4x ((5 + -1x) + x(-5 + x)) = (x2) + 4x (5 + -1x + (-5 * x + x * x)) = (x2) + 4x (5 + -1x + (-5x + x2)) = (x2) + 4x Combine like terms: -1x + -5x = -6x (5 + -6x + x2) = (x2) + 4x 5 + -6x + x2 = x2 + 4x Reorder the terms: 5 + -6x + x2 = 4x + x2 Add '-1x2' to each side of the equation. 5 + -6x + x2 + -1x2 = 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -6x + 0 = 4x + x2 + -1x2 5 + -6x = 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -6x = 4x + 0 5 + -6x = 4x Solving 5 + -6x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + -6x + -4x = 4x + -4x Combine like terms: -6x + -4x = -10x 5 + -10x = 4x + -4x Combine like terms: 4x + -4x = 0 5 + -10x = 0 Add '-5' to each side of the equation. 5 + -5 + -10x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = 0 + -5 -10x = 0 + -5 Combine like terms: 0 + -5 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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