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Simplifying (3 + 2x + 2x2 + 6x3) + (9 + -2x + 2x2 + -6x3) = 0 Remove parenthesis around (3 + 2x + 2x2 + 6x3) 3 + 2x + 2x2 + 6x3 + (9 + -2x + 2x2 + -6x3) = 0 Remove parenthesis around (9 + -2x + 2x2 + -6x3) 3 + 2x + 2x2 + 6x3 + 9 + -2x + 2x2 + -6x3 = 0 Reorder the terms: 3 + 9 + 2x + -2x + 2x2 + 2x2 + 6x3 + -6x3 = 0 Combine like terms: 3 + 9 = 12 12 + 2x + -2x + 2x2 + 2x2 + 6x3 + -6x3 = 0 Combine like terms: 2x + -2x = 0 12 + 0 + 2x2 + 2x2 + 6x3 + -6x3 = 0 12 + 2x2 + 2x2 + 6x3 + -6x3 = 0 Combine like terms: 2x2 + 2x2 = 4x2 12 + 4x2 + 6x3 + -6x3 = 0 Combine like terms: 6x3 + -6x3 = 0 12 + 4x2 + 0 = 0 12 + 4x2 = 0 Solving 12 + 4x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4x2 = 0 + -12 4x2 = 0 + -12 Combine like terms: 0 + -12 = -12 4x2 = -12 Divide each side by '4'. x2 = -3 Simplifying x2 = -3 Reorder the terms: 3 + x2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + x2 = 0 The solution to this equation could not be determined.
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