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Simplifying (3x + -6) + (5x + 9) = 0 Reorder the terms: (-6 + 3x) + (5x + 9) = 0 Remove parenthesis around (-6 + 3x) -6 + 3x + (5x + 9) = 0 Reorder the terms: -6 + 3x + (9 + 5x) = 0 Remove parenthesis around (9 + 5x) -6 + 3x + 9 + 5x = 0 Reorder the terms: -6 + 9 + 3x + 5x = 0 Combine like terms: -6 + 9 = 3 3 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x 3 + 8x = 0 Solving 3 + 8x = 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 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375
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