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Simplifying 0.5x + 14 + x + 15 + 0.2x + 15 = 180 Reorder the terms: 14 + 15 + 15 + 0.5x + x + 0.2x = 180 Combine like terms: 14 + 15 = 29 29 + 15 + 0.5x + x + 0.2x = 180 Combine like terms: 29 + 15 = 44 44 + 0.5x + x + 0.2x = 180 Combine like terms: 0.5x + x = 1.5x 44 + 1.5x + 0.2x = 180 Combine like terms: 1.5x + 0.2x = 1.7x 44 + 1.7x = 180 Solving 44 + 1.7x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 1.7x = 180 + -44 Combine like terms: 44 + -44 = 0 0 + 1.7x = 180 + -44 1.7x = 180 + -44 Combine like terms: 180 + -44 = 136 1.7x = 136 Divide each side by '1.7'. x = 80 Simplifying x = 80
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