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Simplifying (3x + 2) + (2x + -5) + (3x + -9) = 0 Reorder the terms: (2 + 3x) + (2x + -5) + (3x + -9) = 0 Remove parenthesis around (2 + 3x) 2 + 3x + (2x + -5) + (3x + -9) = 0 Reorder the terms: 2 + 3x + (-5 + 2x) + (3x + -9) = 0 Remove parenthesis around (-5 + 2x) 2 + 3x + -5 + 2x + (3x + -9) = 0 Reorder the terms: 2 + 3x + -5 + 2x + (-9 + 3x) = 0 Remove parenthesis around (-9 + 3x) 2 + 3x + -5 + 2x + -9 + 3x = 0 Reorder the terms: 2 + -5 + -9 + 3x + 2x + 3x = 0 Combine like terms: 2 + -5 = -3 -3 + -9 + 3x + 2x + 3x = 0 Combine like terms: -3 + -9 = -12 -12 + 3x + 2x + 3x = 0 Combine like terms: 3x + 2x = 5x -12 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x -12 + 8x = 0 Solving -12 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 0 + 12 8x = 0 + 12 Combine like terms: 0 + 12 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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