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Simplifying (3 + 5x)(2 + -3x) = 12 + -15x2 Multiply (3 + 5x) * (2 + -3x) (3(2 + -3x) + 5x * (2 + -3x)) = 12 + -15x2 ((2 * 3 + -3x * 3) + 5x * (2 + -3x)) = 12 + -15x2 ((6 + -9x) + 5x * (2 + -3x)) = 12 + -15x2 (6 + -9x + (2 * 5x + -3x * 5x)) = 12 + -15x2 (6 + -9x + (10x + -15x2)) = 12 + -15x2 Combine like terms: -9x + 10x = 1x (6 + 1x + -15x2) = 12 + -15x2 Add '15x2' to each side of the equation. 6 + 1x + -15x2 + 15x2 = 12 + -15x2 + 15x2 Combine like terms: -15x2 + 15x2 = 0 6 + 1x + 0 = 12 + -15x2 + 15x2 6 + 1x = 12 + -15x2 + 15x2 Combine like terms: -15x2 + 15x2 = 0 6 + 1x = 12 + 0 6 + 1x = 12 Solving 6 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 12 + -6 1x = 12 + -6 Combine like terms: 12 + -6 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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