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Simplifying (2x + -6) + (3x + -9) = 85 Reorder the terms: (-6 + 2x) + (3x + -9) = 85 Remove parenthesis around (-6 + 2x) -6 + 2x + (3x + -9) = 85 Reorder the terms: -6 + 2x + (-9 + 3x) = 85 Remove parenthesis around (-9 + 3x) -6 + 2x + -9 + 3x = 85 Reorder the terms: -6 + -9 + 2x + 3x = 85 Combine like terms: -6 + -9 = -15 -15 + 2x + 3x = 85 Combine like terms: 2x + 3x = 5x -15 + 5x = 85 Solving -15 + 5x = 85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 5x = 85 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 85 + 15 5x = 85 + 15 Combine like terms: 85 + 15 = 100 5x = 100 Divide each side by '5'. x = 20 Simplifying x = 20
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