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Simplifying (x + 2)(x + 3) = x2 + 4x + 10 Reorder the terms: (2 + x)(x + 3) = x2 + 4x + 10 Reorder the terms: (2 + x)(3 + x) = x2 + 4x + 10 Multiply (2 + x) * (3 + x) (2(3 + x) + x(3 + x)) = x2 + 4x + 10 ((3 * 2 + x * 2) + x(3 + x)) = x2 + 4x + 10 ((6 + 2x) + x(3 + x)) = x2 + 4x + 10 (6 + 2x + (3 * x + x * x)) = x2 + 4x + 10 (6 + 2x + (3x + x2)) = x2 + 4x + 10 Combine like terms: 2x + 3x = 5x (6 + 5x + x2) = x2 + 4x + 10 Reorder the terms: 6 + 5x + x2 = 10 + 4x + x2 Add '-1x2' to each side of the equation. 6 + 5x + x2 + -1x2 = 10 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 5x + 0 = 10 + 4x + x2 + -1x2 6 + 5x = 10 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 5x = 10 + 4x + 0 6 + 5x = 10 + 4x Solving 6 + 5x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 5x + -4x = 10 + 4x + -4x Combine like terms: 5x + -4x = 1x 6 + 1x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 1x = 10 + 0 6 + 1x = 10 Add '-6' to each side of the equation. 6 + -6 + 1x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 10 + -6 1x = 10 + -6 Combine like terms: 10 + -6 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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