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Simplifying (0.5x + 5) + (x + -1) + x = 169 Reorder the terms: (5 + 0.5x) + (x + -1) + x = 169 Remove parenthesis around (5 + 0.5x) 5 + 0.5x + (x + -1) + x = 169 Reorder the terms: 5 + 0.5x + (-1 + x) + x = 169 Remove parenthesis around (-1 + x) 5 + 0.5x + -1 + x + x = 169 Reorder the terms: 5 + -1 + 0.5x + x + x = 169 Combine like terms: 5 + -1 = 4 4 + 0.5x + x + x = 169 Combine like terms: 0.5x + x = 1.5x 4 + 1.5x + x = 169 Combine like terms: 1.5x + x = 2.5x 4 + 2.5x = 169 Solving 4 + 2.5x = 169 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2.5x = 169 + -4 Combine like terms: 4 + -4 = 0 0 + 2.5x = 169 + -4 2.5x = 169 + -4 Combine like terms: 169 + -4 = 165 2.5x = 165 Divide each side by '2.5'. x = 66 Simplifying x = 66
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