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Simplifying (2x + 33) + (3x + 20) = 113 Reorder the terms: (33 + 2x) + (3x + 20) = 113 Remove parenthesis around (33 + 2x) 33 + 2x + (3x + 20) = 113 Reorder the terms: 33 + 2x + (20 + 3x) = 113 Remove parenthesis around (20 + 3x) 33 + 2x + 20 + 3x = 113 Reorder the terms: 33 + 20 + 2x + 3x = 113 Combine like terms: 33 + 20 = 53 53 + 2x + 3x = 113 Combine like terms: 2x + 3x = 5x 53 + 5x = 113 Solving 53 + 5x = 113 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 5x = 113 + -53 Combine like terms: 53 + -53 = 0 0 + 5x = 113 + -53 5x = 113 + -53 Combine like terms: 113 + -53 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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