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Simplifying 6(3x2 + -3x) + -9(2x2 + 1) = 12 Reorder the terms: 6(-3x + 3x2) + -9(2x2 + 1) = 12 (-3x * 6 + 3x2 * 6) + -9(2x2 + 1) = 12 (-18x + 18x2) + -9(2x2 + 1) = 12 Reorder the terms: -18x + 18x2 + -9(1 + 2x2) = 12 -18x + 18x2 + (1 * -9 + 2x2 * -9) = 12 -18x + 18x2 + (-9 + -18x2) = 12 Reorder the terms: -9 + -18x + 18x2 + -18x2 = 12 Combine like terms: 18x2 + -18x2 = 0 -9 + -18x + 0 = 12 -9 + -18x = 12 Solving -9 + -18x = 12 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 + -18x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -18x = 12 + 9 -18x = 12 + 9 Combine like terms: 12 + 9 = 21 -18x = 21 Divide each side by '-18'. x = -1.166666667 Simplifying x = -1.166666667
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