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Simplifying (x + 51) + (x + 78) + 67 = 180 Reorder the terms: (51 + x) + (x + 78) + 67 = 180 Remove parenthesis around (51 + x) 51 + x + (x + 78) + 67 = 180 Reorder the terms: 51 + x + (78 + x) + 67 = 180 Remove parenthesis around (78 + x) 51 + x + 78 + x + 67 = 180 Reorder the terms: 51 + 78 + 67 + x + x = 180 Combine like terms: 51 + 78 = 129 129 + 67 + x + x = 180 Combine like terms: 129 + 67 = 196 196 + x + x = 180 Combine like terms: x + x = 2x 196 + 2x = 180 Solving 196 + 2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-196' to each side of the equation. 196 + -196 + 2x = 180 + -196 Combine like terms: 196 + -196 = 0 0 + 2x = 180 + -196 2x = 180 + -196 Combine like terms: 180 + -196 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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