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Simplifying (2x + 3)(4x + 7) = 8x2 + -5 Reorder the terms: (3 + 2x)(4x + 7) = 8x2 + -5 Reorder the terms: (3 + 2x)(7 + 4x) = 8x2 + -5 Multiply (3 + 2x) * (7 + 4x) (3(7 + 4x) + 2x * (7 + 4x)) = 8x2 + -5 ((7 * 3 + 4x * 3) + 2x * (7 + 4x)) = 8x2 + -5 ((21 + 12x) + 2x * (7 + 4x)) = 8x2 + -5 (21 + 12x + (7 * 2x + 4x * 2x)) = 8x2 + -5 (21 + 12x + (14x + 8x2)) = 8x2 + -5 Combine like terms: 12x + 14x = 26x (21 + 26x + 8x2) = 8x2 + -5 Reorder the terms: 21 + 26x + 8x2 = -5 + 8x2 Add '-8x2' to each side of the equation. 21 + 26x + 8x2 + -8x2 = -5 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 21 + 26x + 0 = -5 + 8x2 + -8x2 21 + 26x = -5 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 21 + 26x = -5 + 0 21 + 26x = -5 Solving 21 + 26x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 26x = -5 + -21 Combine like terms: 21 + -21 = 0 0 + 26x = -5 + -21 26x = -5 + -21 Combine like terms: -5 + -21 = -26 26x = -26 Divide each side by '26'. x = -1 Simplifying x = -1
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