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Simplifying (x + 3)(x + -8) = x2 + -4x + 24 Reorder the terms: (3 + x)(x + -8) = x2 + -4x + 24 Reorder the terms: (3 + x)(-8 + x) = x2 + -4x + 24 Multiply (3 + x) * (-8 + x) (3(-8 + x) + x(-8 + x)) = x2 + -4x + 24 ((-8 * 3 + x * 3) + x(-8 + x)) = x2 + -4x + 24 ((-24 + 3x) + x(-8 + x)) = x2 + -4x + 24 (-24 + 3x + (-8 * x + x * x)) = x2 + -4x + 24 (-24 + 3x + (-8x + x2)) = x2 + -4x + 24 Combine like terms: 3x + -8x = -5x (-24 + -5x + x2) = x2 + -4x + 24 Reorder the terms: -24 + -5x + x2 = 24 + -4x + x2 Add '-1x2' to each side of the equation. -24 + -5x + x2 + -1x2 = 24 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -24 + -5x + 0 = 24 + -4x + x2 + -1x2 -24 + -5x = 24 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -24 + -5x = 24 + -4x + 0 -24 + -5x = 24 + -4x Solving -24 + -5x = 24 + -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. -24 + -5x + 4x = 24 + -4x + 4x Combine like terms: -5x + 4x = -1x -24 + -1x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + -1x = 24 + 0 -24 + -1x = 24 Add '24' to each side of the equation. -24 + 24 + -1x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 24 + 24 -1x = 24 + 24 Combine like terms: 24 + 24 = 48 -1x = 48 Divide each side by '-1'. x = -48 Simplifying x = -48
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