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Simplifying (x + 5)(x + -1) = (x)(x) + -7 Reorder the terms: (5 + x)(x + -1) = (x)(x) + -7 Reorder the terms: (5 + x)(-1 + x) = (x)(x) + -7 Multiply (5 + x) * (-1 + x) (5(-1 + x) + x(-1 + x)) = (x)(x) + -7 ((-1 * 5 + x * 5) + x(-1 + x)) = (x)(x) + -7 ((-5 + 5x) + x(-1 + x)) = (x)(x) + -7 (-5 + 5x + (-1 * x + x * x)) = (x)(x) + -7 (-5 + 5x + (-1x + x2)) = (x)(x) + -7 Combine like terms: 5x + -1x = 4x (-5 + 4x + x2) = (x)(x) + -7 Multiply x * x -5 + 4x + x2 = x2 + -7 Reorder the terms: -5 + 4x + x2 = -7 + x2 Add '-1x2' to each side of the equation. -5 + 4x + x2 + -1x2 = -7 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + 4x + 0 = -7 + x2 + -1x2 -5 + 4x = -7 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + 4x = -7 + 0 -5 + 4x = -7 Solving -5 + 4x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = -7 + 5 4x = -7 + 5 Combine like terms: -7 + 5 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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