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Simplifying (2x + 7)(4x + -4x + 7) = 0 Reorder the terms: (7 + 2x)(4x + -4x + 7) = 0 Reorder the terms: (7 + 2x)(7 + 4x + -4x) = 0 Combine like terms: 4x + -4x = 0 (7 + 2x)(7 + 0) = 0 (7 + 2x)(7) = 0 Reorder the terms for easier multiplication: 7(7 + 2x) = 0 (7 * 7 + 2x * 7) = 0 (49 + 14x) = 0 Solving 49 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 14x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 14x = 0 + -49 14x = 0 + -49 Combine like terms: 0 + -49 = -49 14x = -49 Divide each side by '14'. x = -3.5 Simplifying x = -3.5
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