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Simplifying (7x + 2) + (14x + -1) + 74 = 180 Reorder the terms: (2 + 7x) + (14x + -1) + 74 = 180 Remove parenthesis around (2 + 7x) 2 + 7x + (14x + -1) + 74 = 180 Reorder the terms: 2 + 7x + (-1 + 14x) + 74 = 180 Remove parenthesis around (-1 + 14x) 2 + 7x + -1 + 14x + 74 = 180 Reorder the terms: 2 + -1 + 74 + 7x + 14x = 180 Combine like terms: 2 + -1 = 1 1 + 74 + 7x + 14x = 180 Combine like terms: 1 + 74 = 75 75 + 7x + 14x = 180 Combine like terms: 7x + 14x = 21x 75 + 21x = 180 Solving 75 + 21x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 21x = 180 + -75 Combine like terms: 75 + -75 = 0 0 + 21x = 180 + -75 21x = 180 + -75 Combine like terms: 180 + -75 = 105 21x = 105 Divide each side by '21'. x = 5 Simplifying x = 5
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