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Simplifying (13x + 20) + (10x + 27) = 116 Reorder the terms: (20 + 13x) + (10x + 27) = 116 Remove parenthesis around (20 + 13x) 20 + 13x + (10x + 27) = 116 Reorder the terms: 20 + 13x + (27 + 10x) = 116 Remove parenthesis around (27 + 10x) 20 + 13x + 27 + 10x = 116 Reorder the terms: 20 + 27 + 13x + 10x = 116 Combine like terms: 20 + 27 = 47 47 + 13x + 10x = 116 Combine like terms: 13x + 10x = 23x 47 + 23x = 116 Solving 47 + 23x = 116 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 23x = 116 + -47 Combine like terms: 47 + -47 = 0 0 + 23x = 116 + -47 23x = 116 + -47 Combine like terms: 116 + -47 = 69 23x = 69 Divide each side by '23'. x = 3 Simplifying x = 3
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