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Simplifying (x + 1)(x + 4) = x2 + 14 Reorder the terms: (1 + x)(x + 4) = x2 + 14 Reorder the terms: (1 + x)(4 + x) = x2 + 14 Multiply (1 + x) * (4 + x) (1(4 + x) + x(4 + x)) = x2 + 14 ((4 * 1 + x * 1) + x(4 + x)) = x2 + 14 ((4 + 1x) + x(4 + x)) = x2 + 14 (4 + 1x + (4 * x + x * x)) = x2 + 14 (4 + 1x + (4x + x2)) = x2 + 14 Combine like terms: 1x + 4x = 5x (4 + 5x + x2) = x2 + 14 Reorder the terms: 4 + 5x + x2 = 14 + x2 Add '-1x2' to each side of the equation. 4 + 5x + x2 + -1x2 = 14 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + 5x + 0 = 14 + x2 + -1x2 4 + 5x = 14 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + 5x = 14 + 0 4 + 5x = 14 Solving 4 + 5x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 14 + -4 5x = 14 + -4 Combine like terms: 14 + -4 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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