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Simplifying (2x2 + 6x + -7) + (4x2 + 2x + 17) + -1(6x2 + -11) = 0 Reorder the terms: (-7 + 6x + 2x2) + (4x2 + 2x + 17) + -1(6x2 + -11) = 0 Remove parenthesis around (-7 + 6x + 2x2) -7 + 6x + 2x2 + (4x2 + 2x + 17) + -1(6x2 + -11) = 0 Reorder the terms: -7 + 6x + 2x2 + (17 + 2x + 4x2) + -1(6x2 + -11) = 0 Remove parenthesis around (17 + 2x + 4x2) -7 + 6x + 2x2 + 17 + 2x + 4x2 + -1(6x2 + -11) = 0 Reorder the terms: -7 + 6x + 2x2 + 17 + 2x + 4x2 + -1(-11 + 6x2) = 0 -7 + 6x + 2x2 + 17 + 2x + 4x2 + (-11 * -1 + 6x2 * -1) = 0 -7 + 6x + 2x2 + 17 + 2x + 4x2 + (11 + -6x2) = 0 Reorder the terms: -7 + 17 + 11 + 6x + 2x + 2x2 + 4x2 + -6x2 = 0 Combine like terms: -7 + 17 = 10 10 + 11 + 6x + 2x + 2x2 + 4x2 + -6x2 = 0 Combine like terms: 10 + 11 = 21 21 + 6x + 2x + 2x2 + 4x2 + -6x2 = 0 Combine like terms: 6x + 2x = 8x 21 + 8x + 2x2 + 4x2 + -6x2 = 0 Combine like terms: 2x2 + 4x2 = 6x2 21 + 8x + 6x2 + -6x2 = 0 Combine like terms: 6x2 + -6x2 = 0 21 + 8x + 0 = 0 21 + 8x = 0 Solving 21 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 8x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = 0 + -21 8x = 0 + -21 Combine like terms: 0 + -21 = -21 8x = -21 Divide each side by '8'. x = -2.625 Simplifying x = -2.625
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