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Simplifying (3x2 + 2x + -4) + (5x2 + 5x + 18) + -1(8x2 + -17) = 0 Reorder the terms: (-4 + 2x + 3x2) + (5x2 + 5x + 18) + -1(8x2 + -17) = 0 Remove parenthesis around (-4 + 2x + 3x2) -4 + 2x + 3x2 + (5x2 + 5x + 18) + -1(8x2 + -17) = 0 Reorder the terms: -4 + 2x + 3x2 + (18 + 5x + 5x2) + -1(8x2 + -17) = 0 Remove parenthesis around (18 + 5x + 5x2) -4 + 2x + 3x2 + 18 + 5x + 5x2 + -1(8x2 + -17) = 0 Reorder the terms: -4 + 2x + 3x2 + 18 + 5x + 5x2 + -1(-17 + 8x2) = 0 -4 + 2x + 3x2 + 18 + 5x + 5x2 + (-17 * -1 + 8x2 * -1) = 0 -4 + 2x + 3x2 + 18 + 5x + 5x2 + (17 + -8x2) = 0 Reorder the terms: -4 + 18 + 17 + 2x + 5x + 3x2 + 5x2 + -8x2 = 0 Combine like terms: -4 + 18 = 14 14 + 17 + 2x + 5x + 3x2 + 5x2 + -8x2 = 0 Combine like terms: 14 + 17 = 31 31 + 2x + 5x + 3x2 + 5x2 + -8x2 = 0 Combine like terms: 2x + 5x = 7x 31 + 7x + 3x2 + 5x2 + -8x2 = 0 Combine like terms: 3x2 + 5x2 = 8x2 31 + 7x + 8x2 + -8x2 = 0 Combine like terms: 8x2 + -8x2 = 0 31 + 7x + 0 = 0 31 + 7x = 0 Solving 31 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 7x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 7x = 0 + -31 7x = 0 + -31 Combine like terms: 0 + -31 = -31 7x = -31 Divide each side by '7'. x = -4.428571429 Simplifying x = -4.428571429
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