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Simplifying (x + 1)(x + 2) = x2 + 6x + -10 Reorder the terms: (1 + x)(x + 2) = x2 + 6x + -10 Reorder the terms: (1 + x)(2 + x) = x2 + 6x + -10 Multiply (1 + x) * (2 + x) (1(2 + x) + x(2 + x)) = x2 + 6x + -10 ((2 * 1 + x * 1) + x(2 + x)) = x2 + 6x + -10 ((2 + 1x) + x(2 + x)) = x2 + 6x + -10 (2 + 1x + (2 * x + x * x)) = x2 + 6x + -10 (2 + 1x + (2x + x2)) = x2 + 6x + -10 Combine like terms: 1x + 2x = 3x (2 + 3x + x2) = x2 + 6x + -10 Reorder the terms: 2 + 3x + x2 = -10 + 6x + x2 Add '-1x2' to each side of the equation. 2 + 3x + x2 + -1x2 = -10 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + 3x + 0 = -10 + 6x + x2 + -1x2 2 + 3x = -10 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + 3x = -10 + 6x + 0 2 + 3x = -10 + 6x Solving 2 + 3x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 3x + -6x = -10 + 6x + -6x Combine like terms: 3x + -6x = -3x 2 + -3x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -3x = -10 + 0 2 + -3x = -10 Add '-2' to each side of the equation. 2 + -2 + -3x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -10 + -2 -3x = -10 + -2 Combine like terms: -10 + -2 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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