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Simplifying 3x(x + -3) + -1(x + 1)(3x + 2) = 8 Reorder the terms: 3x(-3 + x) + -1(x + 1)(3x + 2) = 8 (-3 * 3x + x * 3x) + -1(x + 1)(3x + 2) = 8 (-9x + 3x2) + -1(x + 1)(3x + 2) = 8 Reorder the terms: -9x + 3x2 + -1(1 + x)(3x + 2) = 8 Reorder the terms: -9x + 3x2 + -1(1 + x)(2 + 3x) = 8 Multiply (1 + x) * (2 + 3x) -9x + 3x2 + -1(1(2 + 3x) + x(2 + 3x)) = 8 -9x + 3x2 + -1((2 * 1 + 3x * 1) + x(2 + 3x)) = 8 -9x + 3x2 + -1((2 + 3x) + x(2 + 3x)) = 8 -9x + 3x2 + -1(2 + 3x + (2 * x + 3x * x)) = 8 -9x + 3x2 + -1(2 + 3x + (2x + 3x2)) = 8 Combine like terms: 3x + 2x = 5x -9x + 3x2 + -1(2 + 5x + 3x2) = 8 -9x + 3x2 + (2 * -1 + 5x * -1 + 3x2 * -1) = 8 -9x + 3x2 + (-2 + -5x + -3x2) = 8 Reorder the terms: -2 + -9x + -5x + 3x2 + -3x2 = 8 Combine like terms: -9x + -5x = -14x -2 + -14x + 3x2 + -3x2 = 8 Combine like terms: 3x2 + -3x2 = 0 -2 + -14x + 0 = 8 -2 + -14x = 8 Solving -2 + -14x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -14x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -14x = 8 + 2 -14x = 8 + 2 Combine like terms: 8 + 2 = 10 -14x = 10 Divide each side by '-14'. x = -0.7142857143 Simplifying x = -0.7142857143
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