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Simplifying (x + 2)(x + 1) = 6 + x2 Reorder the terms: (2 + x)(x + 1) = 6 + x2 Reorder the terms: (2 + x)(1 + x) = 6 + x2 Multiply (2 + x) * (1 + x) (2(1 + x) + x(1 + x)) = 6 + x2 ((1 * 2 + x * 2) + x(1 + x)) = 6 + x2 ((2 + 2x) + x(1 + x)) = 6 + x2 (2 + 2x + (1 * x + x * x)) = 6 + x2 (2 + 2x + (1x + x2)) = 6 + x2 Combine like terms: 2x + 1x = 3x (2 + 3x + x2) = 6 + x2 Add '-1x2' to each side of the equation. 2 + 3x + x2 + -1x2 = 6 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + 3x + 0 = 6 + x2 + -1x2 2 + 3x = 6 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + 3x = 6 + 0 2 + 3x = 6 Solving 2 + 3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 6 + -2 3x = 6 + -2 Combine like terms: 6 + -2 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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