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Simplifying 2(x + 6) + -9(2x + 12) = 0 Reorder the terms: 2(6 + x) + -9(2x + 12) = 0 (6 * 2 + x * 2) + -9(2x + 12) = 0 (12 + 2x) + -9(2x + 12) = 0 Reorder the terms: 12 + 2x + -9(12 + 2x) = 0 12 + 2x + (12 * -9 + 2x * -9) = 0 12 + 2x + (-108 + -18x) = 0 Reorder the terms: 12 + -108 + 2x + -18x = 0 Combine like terms: 12 + -108 = -96 -96 + 2x + -18x = 0 Combine like terms: 2x + -18x = -16x -96 + -16x = 0 Solving -96 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + -16x = 0 + 96 Combine like terms: -96 + 96 = 0 0 + -16x = 0 + 96 -16x = 0 + 96 Combine like terms: 0 + 96 = 96 -16x = 96 Divide each side by '-16'. x = -6 Simplifying x = -6
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