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Simplifying 3x2 + -1(x + 3)(3x + 3) = 81 Reorder the terms: 3x2 + -1(3 + x)(3x + 3) = 81 Reorder the terms: 3x2 + -1(3 + x)(3 + 3x) = 81 Multiply (3 + x) * (3 + 3x) 3x2 + -1(3(3 + 3x) + x(3 + 3x)) = 81 3x2 + -1((3 * 3 + 3x * 3) + x(3 + 3x)) = 81 3x2 + -1((9 + 9x) + x(3 + 3x)) = 81 3x2 + -1(9 + 9x + (3 * x + 3x * x)) = 81 3x2 + -1(9 + 9x + (3x + 3x2)) = 81 Combine like terms: 9x + 3x = 12x 3x2 + -1(9 + 12x + 3x2) = 81 3x2 + (9 * -1 + 12x * -1 + 3x2 * -1) = 81 3x2 + (-9 + -12x + -3x2) = 81 Reorder the terms: -9 + -12x + 3x2 + -3x2 = 81 Combine like terms: 3x2 + -3x2 = 0 -9 + -12x + 0 = 81 -9 + -12x = 81 Solving -9 + -12x = 81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -12x = 81 + 9 Combine like terms: -9 + 9 = 0 0 + -12x = 81 + 9 -12x = 81 + 9 Combine like terms: 81 + 9 = 90 -12x = 90 Divide each side by '-12'. x = -7.5 Simplifying x = -7.5
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