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Simplifying (2 + 3x)(2 + -3x) = 18 + -7x + -9x2 Multiply (2 + 3x) * (2 + -3x) (2(2 + -3x) + 3x * (2 + -3x)) = 18 + -7x + -9x2 ((2 * 2 + -3x * 2) + 3x * (2 + -3x)) = 18 + -7x + -9x2 ((4 + -6x) + 3x * (2 + -3x)) = 18 + -7x + -9x2 (4 + -6x + (2 * 3x + -3x * 3x)) = 18 + -7x + -9x2 (4 + -6x + (6x + -9x2)) = 18 + -7x + -9x2 Combine like terms: -6x + 6x = 0 (4 + 0 + -9x2) = 18 + -7x + -9x2 (4 + -9x2) = 18 + -7x + -9x2 Add '9x2' to each side of the equation. 4 + -9x2 + 9x2 = 18 + -7x + -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 4 + 0 = 18 + -7x + -9x2 + 9x2 4 = 18 + -7x + -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 4 = 18 + -7x + 0 4 = 18 + -7x Solving 4 = 18 + -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. 4 + 7x = 18 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 7x = 18 + 0 4 + 7x = 18 Add '-4' to each side of the equation. 4 + -4 + 7x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 18 + -4 7x = 18 + -4 Combine like terms: 18 + -4 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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