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Simplifying (3x2 + 3x + -6) + (2x2 + 3x + 19) + -1(5x2 + -13) = 0 Reorder the terms: (-6 + 3x + 3x2) + (2x2 + 3x + 19) + -1(5x2 + -13) = 0 Remove parenthesis around (-6 + 3x + 3x2) -6 + 3x + 3x2 + (2x2 + 3x + 19) + -1(5x2 + -13) = 0 Reorder the terms: -6 + 3x + 3x2 + (19 + 3x + 2x2) + -1(5x2 + -13) = 0 Remove parenthesis around (19 + 3x + 2x2) -6 + 3x + 3x2 + 19 + 3x + 2x2 + -1(5x2 + -13) = 0 Reorder the terms: -6 + 3x + 3x2 + 19 + 3x + 2x2 + -1(-13 + 5x2) = 0 -6 + 3x + 3x2 + 19 + 3x + 2x2 + (-13 * -1 + 5x2 * -1) = 0 -6 + 3x + 3x2 + 19 + 3x + 2x2 + (13 + -5x2) = 0 Reorder the terms: -6 + 19 + 13 + 3x + 3x + 3x2 + 2x2 + -5x2 = 0 Combine like terms: -6 + 19 = 13 13 + 13 + 3x + 3x + 3x2 + 2x2 + -5x2 = 0 Combine like terms: 13 + 13 = 26 26 + 3x + 3x + 3x2 + 2x2 + -5x2 = 0 Combine like terms: 3x + 3x = 6x 26 + 6x + 3x2 + 2x2 + -5x2 = 0 Combine like terms: 3x2 + 2x2 = 5x2 26 + 6x + 5x2 + -5x2 = 0 Combine like terms: 5x2 + -5x2 = 0 26 + 6x + 0 = 0 26 + 6x = 0 Solving 26 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 6x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 6x = 0 + -26 6x = 0 + -26 Combine like terms: 0 + -26 = -26 6x = -26 Divide each side by '6'. x = -4.333333333 Simplifying x = -4.333333333
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