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Simplifying (3x2 + 5x + -4) + (4x2 + 6x + 13) + -1(7x2 + -18) = 0 Reorder the terms: (-4 + 5x + 3x2) + (4x2 + 6x + 13) + -1(7x2 + -18) = 0 Remove parenthesis around (-4 + 5x + 3x2) -4 + 5x + 3x2 + (4x2 + 6x + 13) + -1(7x2 + -18) = 0 Reorder the terms: -4 + 5x + 3x2 + (13 + 6x + 4x2) + -1(7x2 + -18) = 0 Remove parenthesis around (13 + 6x + 4x2) -4 + 5x + 3x2 + 13 + 6x + 4x2 + -1(7x2 + -18) = 0 Reorder the terms: -4 + 5x + 3x2 + 13 + 6x + 4x2 + -1(-18 + 7x2) = 0 -4 + 5x + 3x2 + 13 + 6x + 4x2 + (-18 * -1 + 7x2 * -1) = 0 -4 + 5x + 3x2 + 13 + 6x + 4x2 + (18 + -7x2) = 0 Reorder the terms: -4 + 13 + 18 + 5x + 6x + 3x2 + 4x2 + -7x2 = 0 Combine like terms: -4 + 13 = 9 9 + 18 + 5x + 6x + 3x2 + 4x2 + -7x2 = 0 Combine like terms: 9 + 18 = 27 27 + 5x + 6x + 3x2 + 4x2 + -7x2 = 0 Combine like terms: 5x + 6x = 11x 27 + 11x + 3x2 + 4x2 + -7x2 = 0 Combine like terms: 3x2 + 4x2 = 7x2 27 + 11x + 7x2 + -7x2 = 0 Combine like terms: 7x2 + -7x2 = 0 27 + 11x + 0 = 0 27 + 11x = 0 Solving 27 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 11x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 11x = 0 + -27 11x = 0 + -27 Combine like terms: 0 + -27 = -27 11x = -27 Divide each side by '11'. x = -2.454545455 Simplifying x = -2.454545455
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