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Simplifying (2x + -8)(2x + 10) = 4x2 + -64 Reorder the terms: (-8 + 2x)(2x + 10) = 4x2 + -64 Reorder the terms: (-8 + 2x)(10 + 2x) = 4x2 + -64 Multiply (-8 + 2x) * (10 + 2x) (-8(10 + 2x) + 2x * (10 + 2x)) = 4x2 + -64 ((10 * -8 + 2x * -8) + 2x * (10 + 2x)) = 4x2 + -64 ((-80 + -16x) + 2x * (10 + 2x)) = 4x2 + -64 (-80 + -16x + (10 * 2x + 2x * 2x)) = 4x2 + -64 (-80 + -16x + (20x + 4x2)) = 4x2 + -64 Combine like terms: -16x + 20x = 4x (-80 + 4x + 4x2) = 4x2 + -64 Reorder the terms: -80 + 4x + 4x2 = -64 + 4x2 Add '-4x2' to each side of the equation. -80 + 4x + 4x2 + -4x2 = -64 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -80 + 4x + 0 = -64 + 4x2 + -4x2 -80 + 4x = -64 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -80 + 4x = -64 + 0 -80 + 4x = -64 Solving -80 + 4x = -64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + 4x = -64 + 80 Combine like terms: -80 + 80 = 0 0 + 4x = -64 + 80 4x = -64 + 80 Combine like terms: -64 + 80 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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