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Simplifying 2x2 + -1(x + 3)(3x + 1) = x(3 + -1x) Reorder the terms: 2x2 + -1(3 + x)(3x + 1) = x(3 + -1x) Reorder the terms: 2x2 + -1(3 + x)(1 + 3x) = x(3 + -1x) Multiply (3 + x) * (1 + 3x) 2x2 + -1(3(1 + 3x) + x(1 + 3x)) = x(3 + -1x) 2x2 + -1((1 * 3 + 3x * 3) + x(1 + 3x)) = x(3 + -1x) 2x2 + -1((3 + 9x) + x(1 + 3x)) = x(3 + -1x) 2x2 + -1(3 + 9x + (1 * x + 3x * x)) = x(3 + -1x) 2x2 + -1(3 + 9x + (1x + 3x2)) = x(3 + -1x) Combine like terms: 9x + 1x = 10x 2x2 + -1(3 + 10x + 3x2) = x(3 + -1x) 2x2 + (3 * -1 + 10x * -1 + 3x2 * -1) = x(3 + -1x) 2x2 + (-3 + -10x + -3x2) = x(3 + -1x) Reorder the terms: -3 + -10x + 2x2 + -3x2 = x(3 + -1x) Combine like terms: 2x2 + -3x2 = -1x2 -3 + -10x + -1x2 = x(3 + -1x) -3 + -10x + -1x2 = (3 * x + -1x * x) -3 + -10x + -1x2 = (3x + -1x2) Add 'x2' to each side of the equation. -3 + -10x + -1x2 + x2 = 3x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -3 + -10x + 0 = 3x + -1x2 + x2 -3 + -10x = 3x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -3 + -10x = 3x + 0 -3 + -10x = 3x Solving -3 + -10x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + -10x + -3x = 3x + -3x Combine like terms: -10x + -3x = -13x -3 + -13x = 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -13x = 0 Add '3' to each side of the equation. -3 + 3 + -13x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -13x = 0 + 3 -13x = 0 + 3 Combine like terms: 0 + 3 = 3 -13x = 3 Divide each side by '-13'. x = -0.2307692308 Simplifying x = -0.2307692308
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