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Simplifying (31x + -2) + (23x + -1) + 75 = 180 Reorder the terms: (-2 + 31x) + (23x + -1) + 75 = 180 Remove parenthesis around (-2 + 31x) -2 + 31x + (23x + -1) + 75 = 180 Reorder the terms: -2 + 31x + (-1 + 23x) + 75 = 180 Remove parenthesis around (-1 + 23x) -2 + 31x + -1 + 23x + 75 = 180 Reorder the terms: -2 + -1 + 75 + 31x + 23x = 180 Combine like terms: -2 + -1 = -3 -3 + 75 + 31x + 23x = 180 Combine like terms: -3 + 75 = 72 72 + 31x + 23x = 180 Combine like terms: 31x + 23x = 54x 72 + 54x = 180 Solving 72 + 54x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 54x = 180 + -72 Combine like terms: 72 + -72 = 0 0 + 54x = 180 + -72 54x = 180 + -72 Combine like terms: 180 + -72 = 108 54x = 108 Divide each side by '54'. x = 2 Simplifying x = 2
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