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Simplifying (5x2 + 4x + -7) + (3x2 + 5x + 13) + -1(8x2 + -11) = 0 Reorder the terms: (-7 + 4x + 5x2) + (3x2 + 5x + 13) + -1(8x2 + -11) = 0 Remove parenthesis around (-7 + 4x + 5x2) -7 + 4x + 5x2 + (3x2 + 5x + 13) + -1(8x2 + -11) = 0 Reorder the terms: -7 + 4x + 5x2 + (13 + 5x + 3x2) + -1(8x2 + -11) = 0 Remove parenthesis around (13 + 5x + 3x2) -7 + 4x + 5x2 + 13 + 5x + 3x2 + -1(8x2 + -11) = 0 Reorder the terms: -7 + 4x + 5x2 + 13 + 5x + 3x2 + -1(-11 + 8x2) = 0 -7 + 4x + 5x2 + 13 + 5x + 3x2 + (-11 * -1 + 8x2 * -1) = 0 -7 + 4x + 5x2 + 13 + 5x + 3x2 + (11 + -8x2) = 0 Reorder the terms: -7 + 13 + 11 + 4x + 5x + 5x2 + 3x2 + -8x2 = 0 Combine like terms: -7 + 13 = 6 6 + 11 + 4x + 5x + 5x2 + 3x2 + -8x2 = 0 Combine like terms: 6 + 11 = 17 17 + 4x + 5x + 5x2 + 3x2 + -8x2 = 0 Combine like terms: 4x + 5x = 9x 17 + 9x + 5x2 + 3x2 + -8x2 = 0 Combine like terms: 5x2 + 3x2 = 8x2 17 + 9x + 8x2 + -8x2 = 0 Combine like terms: 8x2 + -8x2 = 0 17 + 9x + 0 = 0 17 + 9x = 0 Solving 17 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 9x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = 0 + -17 9x = 0 + -17 Combine like terms: 0 + -17 = -17 9x = -17 Divide each side by '9'. x = -1.888888889 Simplifying x = -1.888888889
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