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Simplifying (x + 3)(x + 2) = x(x + 7) Reorder the terms: (3 + x)(x + 2) = x(x + 7) Reorder the terms: (3 + x)(2 + x) = x(x + 7) Multiply (3 + x) * (2 + x) (3(2 + x) + x(2 + x)) = x(x + 7) ((2 * 3 + x * 3) + x(2 + x)) = x(x + 7) ((6 + 3x) + x(2 + x)) = x(x + 7) (6 + 3x + (2 * x + x * x)) = x(x + 7) (6 + 3x + (2x + x2)) = x(x + 7) Combine like terms: 3x + 2x = 5x (6 + 5x + x2) = x(x + 7) Reorder the terms: 6 + 5x + x2 = x(7 + x) 6 + 5x + x2 = (7 * x + x * x) 6 + 5x + x2 = (7x + x2) Add '-1x2' to each side of the equation. 6 + 5x + x2 + -1x2 = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 5x + 0 = 7x + x2 + -1x2 6 + 5x = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 5x = 7x + 0 6 + 5x = 7x Solving 6 + 5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 5x + -7x = 7x + -7x Combine like terms: 5x + -7x = -2x 6 + -2x = 7x + -7x Combine like terms: 7x + -7x = 0 6 + -2x = 0 Add '-6' to each side of the equation. 6 + -6 + -2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 0 + -6 -2x = 0 + -6 Combine like terms: 0 + -6 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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