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Simplifying (4x2 + 2x + -5) + (2x2 + 9x + 15) + -1(6x2 + -13) = 0 Reorder the terms: (-5 + 2x + 4x2) + (2x2 + 9x + 15) + -1(6x2 + -13) = 0 Remove parenthesis around (-5 + 2x + 4x2) -5 + 2x + 4x2 + (2x2 + 9x + 15) + -1(6x2 + -13) = 0 Reorder the terms: -5 + 2x + 4x2 + (15 + 9x + 2x2) + -1(6x2 + -13) = 0 Remove parenthesis around (15 + 9x + 2x2) -5 + 2x + 4x2 + 15 + 9x + 2x2 + -1(6x2 + -13) = 0 Reorder the terms: -5 + 2x + 4x2 + 15 + 9x + 2x2 + -1(-13 + 6x2) = 0 -5 + 2x + 4x2 + 15 + 9x + 2x2 + (-13 * -1 + 6x2 * -1) = 0 -5 + 2x + 4x2 + 15 + 9x + 2x2 + (13 + -6x2) = 0 Reorder the terms: -5 + 15 + 13 + 2x + 9x + 4x2 + 2x2 + -6x2 = 0 Combine like terms: -5 + 15 = 10 10 + 13 + 2x + 9x + 4x2 + 2x2 + -6x2 = 0 Combine like terms: 10 + 13 = 23 23 + 2x + 9x + 4x2 + 2x2 + -6x2 = 0 Combine like terms: 2x + 9x = 11x 23 + 11x + 4x2 + 2x2 + -6x2 = 0 Combine like terms: 4x2 + 2x2 = 6x2 23 + 11x + 6x2 + -6x2 = 0 Combine like terms: 6x2 + -6x2 = 0 23 + 11x + 0 = 0 23 + 11x = 0 Solving 23 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 11x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 11x = 0 + -23 11x = 0 + -23 Combine like terms: 0 + -23 = -23 11x = -23 Divide each side by '11'. x = -2.090909091 Simplifying x = -2.090909091
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