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Simplifying (4x2 + 9x + -2) + (4x2 + 4x + 19) + -1(8x2 + -14) = 0 Reorder the terms: (-2 + 9x + 4x2) + (4x2 + 4x + 19) + -1(8x2 + -14) = 0 Remove parenthesis around (-2 + 9x + 4x2) -2 + 9x + 4x2 + (4x2 + 4x + 19) + -1(8x2 + -14) = 0 Reorder the terms: -2 + 9x + 4x2 + (19 + 4x + 4x2) + -1(8x2 + -14) = 0 Remove parenthesis around (19 + 4x + 4x2) -2 + 9x + 4x2 + 19 + 4x + 4x2 + -1(8x2 + -14) = 0 Reorder the terms: -2 + 9x + 4x2 + 19 + 4x + 4x2 + -1(-14 + 8x2) = 0 -2 + 9x + 4x2 + 19 + 4x + 4x2 + (-14 * -1 + 8x2 * -1) = 0 -2 + 9x + 4x2 + 19 + 4x + 4x2 + (14 + -8x2) = 0 Reorder the terms: -2 + 19 + 14 + 9x + 4x + 4x2 + 4x2 + -8x2 = 0 Combine like terms: -2 + 19 = 17 17 + 14 + 9x + 4x + 4x2 + 4x2 + -8x2 = 0 Combine like terms: 17 + 14 = 31 31 + 9x + 4x + 4x2 + 4x2 + -8x2 = 0 Combine like terms: 9x + 4x = 13x 31 + 13x + 4x2 + 4x2 + -8x2 = 0 Combine like terms: 4x2 + 4x2 = 8x2 31 + 13x + 8x2 + -8x2 = 0 Combine like terms: 8x2 + -8x2 = 0 31 + 13x + 0 = 0 31 + 13x = 0 Solving 31 + 13x = 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 + 13x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 13x = 0 + -31 13x = 0 + -31 Combine like terms: 0 + -31 = -31 13x = -31 Divide each side by '13'. x = -2.384615385 Simplifying x = -2.384615385
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