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Simplifying (0.5x + 15) + (8.2x + -16.6) = 0 Reorder the terms: (15 + 0.5x) + (8.2x + -16.6) = 0 Remove parenthesis around (15 + 0.5x) 15 + 0.5x + (8.2x + -16.6) = 0 Reorder the terms: 15 + 0.5x + (-16.6 + 8.2x) = 0 Remove parenthesis around (-16.6 + 8.2x) 15 + 0.5x + -16.6 + 8.2x = 0 Reorder the terms: 15 + -16.6 + 0.5x + 8.2x = 0 Combine like terms: 15 + -16.6 = -1.6 -1.6 + 0.5x + 8.2x = 0 Combine like terms: 0.5x + 8.2x = 8.7x -1.6 + 8.7x = 0 Solving -1.6 + 8.7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.6' to each side of the equation. -1.6 + 1.6 + 8.7x = 0 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 8.7x = 0 + 1.6 8.7x = 0 + 1.6 Combine like terms: 0 + 1.6 = 1.6 8.7x = 1.6 Divide each side by '8.7'. x = 0.183908046 Simplifying x = 0.183908046
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