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Simplifying 3(3x + -5) + 2(x + 6) = 0 Reorder the terms: 3(-5 + 3x) + 2(x + 6) = 0 (-5 * 3 + 3x * 3) + 2(x + 6) = 0 (-15 + 9x) + 2(x + 6) = 0 Reorder the terms: -15 + 9x + 2(6 + x) = 0 -15 + 9x + (6 * 2 + x * 2) = 0 -15 + 9x + (12 + 2x) = 0 Reorder the terms: -15 + 12 + 9x + 2x = 0 Combine like terms: -15 + 12 = -3 -3 + 9x + 2x = 0 Combine like terms: 9x + 2x = 11x -3 + 11x = 0 Solving -3 + 11x = 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 + 11x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 11x = 0 + 3 11x = 0 + 3 Combine like terms: 0 + 3 = 3 11x = 3 Divide each side by '11'. x = 0.2727272727 Simplifying x = 0.2727272727
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