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Simplifying 6(3x + -4) + 3(9x + 5) = 0 Reorder the terms: 6(-4 + 3x) + 3(9x + 5) = 0 (-4 * 6 + 3x * 6) + 3(9x + 5) = 0 (-24 + 18x) + 3(9x + 5) = 0 Reorder the terms: -24 + 18x + 3(5 + 9x) = 0 -24 + 18x + (5 * 3 + 9x * 3) = 0 -24 + 18x + (15 + 27x) = 0 Reorder the terms: -24 + 15 + 18x + 27x = 0 Combine like terms: -24 + 15 = -9 -9 + 18x + 27x = 0 Combine like terms: 18x + 27x = 45x -9 + 45x = 0 Solving -9 + 45x = 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 + 45x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 45x = 0 + 9 45x = 0 + 9 Combine like terms: 0 + 9 = 9 45x = 9 Divide each side by '45'. x = 0.2 Simplifying x = 0.2
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