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Simplifying (7x + 27) + (14x + 78) = 180 Reorder the terms: (27 + 7x) + (14x + 78) = 180 Remove parenthesis around (27 + 7x) 27 + 7x + (14x + 78) = 180 Reorder the terms: 27 + 7x + (78 + 14x) = 180 Remove parenthesis around (78 + 14x) 27 + 7x + 78 + 14x = 180 Reorder the terms: 27 + 78 + 7x + 14x = 180 Combine like terms: 27 + 78 = 105 105 + 7x + 14x = 180 Combine like terms: 7x + 14x = 21x 105 + 21x = 180 Solving 105 + 21x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + 21x = 180 + -105 Combine like terms: 105 + -105 = 0 0 + 21x = 180 + -105 21x = 180 + -105 Combine like terms: 180 + -105 = 75 21x = 75 Divide each side by '21'. x = 3.571428571 Simplifying x = 3.571428571
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