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Simplifying 0.5x + 2x + x + 45 = 150 Reorder the terms: 45 + 0.5x + 2x + x = 150 Combine like terms: 0.5x + 2x = 2.5x 45 + 2.5x + x = 150 Combine like terms: 2.5x + x = 3.5x 45 + 3.5x = 150 Solving 45 + 3.5x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 3.5x = 150 + -45 Combine like terms: 45 + -45 = 0 0 + 3.5x = 150 + -45 3.5x = 150 + -45 Combine like terms: 150 + -45 = 105 3.5x = 105 Divide each side by '3.5'. x = 30 Simplifying x = 30
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