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Simplifying x + (x + 51) + (23 + -1x) = 180 Reorder the terms: x + (51 + x) + (23 + -1x) = 180 Remove parenthesis around (51 + x) x + 51 + x + (23 + -1x) = 180 Remove parenthesis around (23 + -1x) x + 51 + x + 23 + -1x = 180 Reorder the terms: 51 + 23 + x + x + -1x = 180 Combine like terms: 51 + 23 = 74 74 + x + x + -1x = 180 Combine like terms: x + x = 2x 74 + 2x + -1x = 180 Combine like terms: 2x + -1x = 1x 74 + 1x = 180 Solving 74 + 1x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + 1x = 180 + -74 Combine like terms: 74 + -74 = 0 0 + 1x = 180 + -74 1x = 180 + -74 Combine like terms: 180 + -74 = 106 1x = 106 Divide each side by '1'. x = 106 Simplifying x = 106
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