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Simplifying (x + 4)(x + 1) = x(x + 2) + 13 Reorder the terms: (4 + x)(x + 1) = x(x + 2) + 13 Reorder the terms: (4 + x)(1 + x) = x(x + 2) + 13 Multiply (4 + x) * (1 + x) (4(1 + x) + x(1 + x)) = x(x + 2) + 13 ((1 * 4 + x * 4) + x(1 + x)) = x(x + 2) + 13 ((4 + 4x) + x(1 + x)) = x(x + 2) + 13 (4 + 4x + (1 * x + x * x)) = x(x + 2) + 13 (4 + 4x + (1x + x2)) = x(x + 2) + 13 Combine like terms: 4x + 1x = 5x (4 + 5x + x2) = x(x + 2) + 13 Reorder the terms: 4 + 5x + x2 = x(2 + x) + 13 4 + 5x + x2 = (2 * x + x * x) + 13 4 + 5x + x2 = (2x + x2) + 13 Reorder the terms: 4 + 5x + x2 = 13 + 2x + x2 Add '-1x2' to each side of the equation. 4 + 5x + x2 + -1x2 = 13 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + 5x + 0 = 13 + 2x + x2 + -1x2 4 + 5x = 13 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + 5x = 13 + 2x + 0 4 + 5x = 13 + 2x Solving 4 + 5x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 5x + -2x = 13 + 2x + -2x Combine like terms: 5x + -2x = 3x 4 + 3x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 3x = 13 + 0 4 + 3x = 13 Add '-4' to each side of the equation. 4 + -4 + 3x = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 13 + -4 3x = 13 + -4 Combine like terms: 13 + -4 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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