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Simplifying (x + 4)(x + 1) = x2 + 59 Reorder the terms: (4 + x)(x + 1) = x2 + 59 Reorder the terms: (4 + x)(1 + x) = x2 + 59 Multiply (4 + x) * (1 + x) (4(1 + x) + x(1 + x)) = x2 + 59 ((1 * 4 + x * 4) + x(1 + x)) = x2 + 59 ((4 + 4x) + x(1 + x)) = x2 + 59 (4 + 4x + (1 * x + x * x)) = x2 + 59 (4 + 4x + (1x + x2)) = x2 + 59 Combine like terms: 4x + 1x = 5x (4 + 5x + x2) = x2 + 59 Reorder the terms: 4 + 5x + x2 = 59 + x2 Add '-1x2' to each side of the equation. 4 + 5x + x2 + -1x2 = 59 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + 5x + 0 = 59 + x2 + -1x2 4 + 5x = 59 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + 5x = 59 + 0 4 + 5x = 59 Solving 4 + 5x = 59 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 = 59 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 59 + -4 5x = 59 + -4 Combine like terms: 59 + -4 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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