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Simplifying (2x2 + 6x + -6) + (2x2 + 8x + 14) + -1(4x2 + -18) = 0 Reorder the terms: (-6 + 6x + 2x2) + (2x2 + 8x + 14) + -1(4x2 + -18) = 0 Remove parenthesis around (-6 + 6x + 2x2) -6 + 6x + 2x2 + (2x2 + 8x + 14) + -1(4x2 + -18) = 0 Reorder the terms: -6 + 6x + 2x2 + (14 + 8x + 2x2) + -1(4x2 + -18) = 0 Remove parenthesis around (14 + 8x + 2x2) -6 + 6x + 2x2 + 14 + 8x + 2x2 + -1(4x2 + -18) = 0 Reorder the terms: -6 + 6x + 2x2 + 14 + 8x + 2x2 + -1(-18 + 4x2) = 0 -6 + 6x + 2x2 + 14 + 8x + 2x2 + (-18 * -1 + 4x2 * -1) = 0 -6 + 6x + 2x2 + 14 + 8x + 2x2 + (18 + -4x2) = 0 Reorder the terms: -6 + 14 + 18 + 6x + 8x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: -6 + 14 = 8 8 + 18 + 6x + 8x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: 8 + 18 = 26 26 + 6x + 8x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: 6x + 8x = 14x 26 + 14x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: 2x2 + 2x2 = 4x2 26 + 14x + 4x2 + -4x2 = 0 Combine like terms: 4x2 + -4x2 = 0 26 + 14x + 0 = 0 26 + 14x = 0 Solving 26 + 14x = 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 + 14x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 14x = 0 + -26 14x = 0 + -26 Combine like terms: 0 + -26 = -26 14x = -26 Divide each side by '14'. x = -1.857142857 Simplifying x = -1.857142857
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