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Simplifying (3x + 42) + (x + 34) = 180 Reorder the terms: (42 + 3x) + (x + 34) = 180 Remove parenthesis around (42 + 3x) 42 + 3x + (x + 34) = 180 Reorder the terms: 42 + 3x + (34 + x) = 180 Remove parenthesis around (34 + x) 42 + 3x + 34 + x = 180 Reorder the terms: 42 + 34 + 3x + x = 180 Combine like terms: 42 + 34 = 76 76 + 3x + x = 180 Combine like terms: 3x + x = 4x 76 + 4x = 180 Solving 76 + 4x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 4x = 180 + -76 Combine like terms: 76 + -76 = 0 0 + 4x = 180 + -76 4x = 180 + -76 Combine like terms: 180 + -76 = 104 4x = 104 Divide each side by '4'. x = 26 Simplifying x = 26
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