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Simplifying (3x + -4) + (5x + 9) = 0 Reorder the terms: (-4 + 3x) + (5x + 9) = 0 Remove parenthesis around (-4 + 3x) -4 + 3x + (5x + 9) = 0 Reorder the terms: -4 + 3x + (9 + 5x) = 0 Remove parenthesis around (9 + 5x) -4 + 3x + 9 + 5x = 0 Reorder the terms: -4 + 9 + 3x + 5x = 0 Combine like terms: -4 + 9 = 5 5 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x 5 + 8x = 0 Solving 5 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 0 + -5 8x = 0 + -5 Combine like terms: 0 + -5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625
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