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Simplifying 3(3x + -9) + 2(2x + 12) = 0 Reorder the terms: 3(-9 + 3x) + 2(2x + 12) = 0 (-9 * 3 + 3x * 3) + 2(2x + 12) = 0 (-27 + 9x) + 2(2x + 12) = 0 Reorder the terms: -27 + 9x + 2(12 + 2x) = 0 -27 + 9x + (12 * 2 + 2x * 2) = 0 -27 + 9x + (24 + 4x) = 0 Reorder the terms: -27 + 24 + 9x + 4x = 0 Combine like terms: -27 + 24 = -3 -3 + 9x + 4x = 0 Combine like terms: 9x + 4x = 13x -3 + 13x = 0 Solving -3 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 13x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 13x = 0 + 3 13x = 0 + 3 Combine like terms: 0 + 3 = 3 13x = 3 Divide each side by '13'. x = 0.2307692308 Simplifying x = 0.2307692308
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