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Simplifying (x + 29) + (x + 31) + 118 = 180 Reorder the terms: (29 + x) + (x + 31) + 118 = 180 Remove parenthesis around (29 + x) 29 + x + (x + 31) + 118 = 180 Reorder the terms: 29 + x + (31 + x) + 118 = 180 Remove parenthesis around (31 + x) 29 + x + 31 + x + 118 = 180 Reorder the terms: 29 + 31 + 118 + x + x = 180 Combine like terms: 29 + 31 = 60 60 + 118 + x + x = 180 Combine like terms: 60 + 118 = 178 178 + x + x = 180 Combine like terms: x + x = 2x 178 + 2x = 180 Solving 178 + 2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-178' to each side of the equation. 178 + -178 + 2x = 180 + -178 Combine like terms: 178 + -178 = 0 0 + 2x = 180 + -178 2x = 180 + -178 Combine like terms: 180 + -178 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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