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Simplifying (12x2 + 6x + -6) + -1(12x2 + 9x + 3) = 0 Reorder the terms: (-6 + 6x + 12x2) + -1(12x2 + 9x + 3) = 0 Remove parenthesis around (-6 + 6x + 12x2) -6 + 6x + 12x2 + -1(12x2 + 9x + 3) = 0 Reorder the terms: -6 + 6x + 12x2 + -1(3 + 9x + 12x2) = 0 -6 + 6x + 12x2 + (3 * -1 + 9x * -1 + 12x2 * -1) = 0 -6 + 6x + 12x2 + (-3 + -9x + -12x2) = 0 Reorder the terms: -6 + -3 + 6x + -9x + 12x2 + -12x2 = 0 Combine like terms: -6 + -3 = -9 -9 + 6x + -9x + 12x2 + -12x2 = 0 Combine like terms: 6x + -9x = -3x -9 + -3x + 12x2 + -12x2 = 0 Combine like terms: 12x2 + -12x2 = 0 -9 + -3x + 0 = 0 -9 + -3x = 0 Solving -9 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -3x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = 0 + 9 -3x = 0 + 9 Combine like terms: 0 + 9 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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