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Simplifying 0.5x + x + (x + 30) = 180 Reorder the terms: 0.5x + x + (30 + x) = 180 Remove parenthesis around (30 + x) 0.5x + x + 30 + x = 180 Reorder the terms: 30 + 0.5x + x + x = 180 Combine like terms: 0.5x + x = 1.5x 30 + 1.5x + x = 180 Combine like terms: 1.5x + x = 2.5x 30 + 2.5x = 180 Solving 30 + 2.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 2.5x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 2.5x = 180 + -30 2.5x = 180 + -30 Combine like terms: 180 + -30 = 150 2.5x = 150 Divide each side by '2.5'. x = 60 Simplifying x = 60
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