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Simplifying 0.5x + 10 + 0.5x + 10 + 0.5x + 10 = 180 Reorder the terms: 10 + 10 + 10 + 0.5x + 0.5x + 0.5x = 180 Combine like terms: 10 + 10 = 20 20 + 10 + 0.5x + 0.5x + 0.5x = 180 Combine like terms: 20 + 10 = 30 30 + 0.5x + 0.5x + 0.5x = 180 Combine like terms: 0.5x + 0.5x = 1x 30 + 1x + 0.5x = 180 Combine like terms: 1x + 0.5x = 1.5x 30 + 1.5x = 180 Solving 30 + 1.5x = 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 + 1.5x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 1.5x = 180 + -30 1.5x = 180 + -30 Combine like terms: 180 + -30 = 150 1.5x = 150 Divide each side by '1.5'. x = 100 Simplifying x = 100
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