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Simplifying (2x + 10) + (3x + 20) = 90 Reorder the terms: (10 + 2x) + (3x + 20) = 90 Remove parenthesis around (10 + 2x) 10 + 2x + (3x + 20) = 90 Reorder the terms: 10 + 2x + (20 + 3x) = 90 Remove parenthesis around (20 + 3x) 10 + 2x + 20 + 3x = 90 Reorder the terms: 10 + 20 + 2x + 3x = 90 Combine like terms: 10 + 20 = 30 30 + 2x + 3x = 90 Combine like terms: 2x + 3x = 5x 30 + 5x = 90 Solving 30 + 5x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5x = 90 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 90 + -30 5x = 90 + -30 Combine like terms: 90 + -30 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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