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Simplifying (x + 1)(x + -5) = x2 + -9 Reorder the terms: (1 + x)(x + -5) = x2 + -9 Reorder the terms: (1 + x)(-5 + x) = x2 + -9 Multiply (1 + x) * (-5 + x) (1(-5 + x) + x(-5 + x)) = x2 + -9 ((-5 * 1 + x * 1) + x(-5 + x)) = x2 + -9 ((-5 + 1x) + x(-5 + x)) = x2 + -9 (-5 + 1x + (-5 * x + x * x)) = x2 + -9 (-5 + 1x + (-5x + x2)) = x2 + -9 Combine like terms: 1x + -5x = -4x (-5 + -4x + x2) = x2 + -9 Reorder the terms: -5 + -4x + x2 = -9 + x2 Add '-1x2' to each side of the equation. -5 + -4x + x2 + -1x2 = -9 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + -4x + 0 = -9 + x2 + -1x2 -5 + -4x = -9 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + -4x = -9 + 0 -5 + -4x = -9 Solving -5 + -4x = -9 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 = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = -9 + 5 -4x = -9 + 5 Combine like terms: -9 + 5 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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