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Simplifying (3x2 + 4x + -5) + (5x2 + 9x + 18) + -1(8x2 + -13) = 0 Reorder the terms: (-5 + 4x + 3x2) + (5x2 + 9x + 18) + -1(8x2 + -13) = 0 Remove parenthesis around (-5 + 4x + 3x2) -5 + 4x + 3x2 + (5x2 + 9x + 18) + -1(8x2 + -13) = 0 Reorder the terms: -5 + 4x + 3x2 + (18 + 9x + 5x2) + -1(8x2 + -13) = 0 Remove parenthesis around (18 + 9x + 5x2) -5 + 4x + 3x2 + 18 + 9x + 5x2 + -1(8x2 + -13) = 0 Reorder the terms: -5 + 4x + 3x2 + 18 + 9x + 5x2 + -1(-13 + 8x2) = 0 -5 + 4x + 3x2 + 18 + 9x + 5x2 + (-13 * -1 + 8x2 * -1) = 0 -5 + 4x + 3x2 + 18 + 9x + 5x2 + (13 + -8x2) = 0 Reorder the terms: -5 + 18 + 13 + 4x + 9x + 3x2 + 5x2 + -8x2 = 0 Combine like terms: -5 + 18 = 13 13 + 13 + 4x + 9x + 3x2 + 5x2 + -8x2 = 0 Combine like terms: 13 + 13 = 26 26 + 4x + 9x + 3x2 + 5x2 + -8x2 = 0 Combine like terms: 4x + 9x = 13x 26 + 13x + 3x2 + 5x2 + -8x2 = 0 Combine like terms: 3x2 + 5x2 = 8x2 26 + 13x + 8x2 + -8x2 = 0 Combine like terms: 8x2 + -8x2 = 0 26 + 13x + 0 = 0 26 + 13x = 0 Solving 26 + 13x = 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 + 13x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 13x = 0 + -26 13x = 0 + -26 Combine like terms: 0 + -26 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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