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Simplifying (x + 8)(x + -4) = x2 + 20 Reorder the terms: (8 + x)(x + -4) = x2 + 20 Reorder the terms: (8 + x)(-4 + x) = x2 + 20 Multiply (8 + x) * (-4 + x) (8(-4 + x) + x(-4 + x)) = x2 + 20 ((-4 * 8 + x * 8) + x(-4 + x)) = x2 + 20 ((-32 + 8x) + x(-4 + x)) = x2 + 20 (-32 + 8x + (-4 * x + x * x)) = x2 + 20 (-32 + 8x + (-4x + x2)) = x2 + 20 Combine like terms: 8x + -4x = 4x (-32 + 4x + x2) = x2 + 20 Reorder the terms: -32 + 4x + x2 = 20 + x2 Add '-1x2' to each side of the equation. -32 + 4x + x2 + -1x2 = 20 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -32 + 4x + 0 = 20 + x2 + -1x2 -32 + 4x = 20 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -32 + 4x = 20 + 0 -32 + 4x = 20 Solving -32 + 4x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 4x = 20 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = 20 + 32 4x = 20 + 32 Combine like terms: 20 + 32 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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