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Simplifying (2x2 + 4x + -2) + (4x2 + 4x + 13) + -1(6x2 + -15) = 0 Reorder the terms: (-2 + 4x + 2x2) + (4x2 + 4x + 13) + -1(6x2 + -15) = 0 Remove parenthesis around (-2 + 4x + 2x2) -2 + 4x + 2x2 + (4x2 + 4x + 13) + -1(6x2 + -15) = 0 Reorder the terms: -2 + 4x + 2x2 + (13 + 4x + 4x2) + -1(6x2 + -15) = 0 Remove parenthesis around (13 + 4x + 4x2) -2 + 4x + 2x2 + 13 + 4x + 4x2 + -1(6x2 + -15) = 0 Reorder the terms: -2 + 4x + 2x2 + 13 + 4x + 4x2 + -1(-15 + 6x2) = 0 -2 + 4x + 2x2 + 13 + 4x + 4x2 + (-15 * -1 + 6x2 * -1) = 0 -2 + 4x + 2x2 + 13 + 4x + 4x2 + (15 + -6x2) = 0 Reorder the terms: -2 + 13 + 15 + 4x + 4x + 2x2 + 4x2 + -6x2 = 0 Combine like terms: -2 + 13 = 11 11 + 15 + 4x + 4x + 2x2 + 4x2 + -6x2 = 0 Combine like terms: 11 + 15 = 26 26 + 4x + 4x + 2x2 + 4x2 + -6x2 = 0 Combine like terms: 4x + 4x = 8x 26 + 8x + 2x2 + 4x2 + -6x2 = 0 Combine like terms: 2x2 + 4x2 = 6x2 26 + 8x + 6x2 + -6x2 = 0 Combine like terms: 6x2 + -6x2 = 0 26 + 8x + 0 = 0 26 + 8x = 0 Solving 26 + 8x = 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 + 8x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 8x = 0 + -26 8x = 0 + -26 Combine like terms: 0 + -26 = -26 8x = -26 Divide each side by '8'. x = -3.25 Simplifying x = -3.25
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