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Simplifying 0.5x + 2(10) + 3(10) = 100 Multiply 2 * 10 0.5x + 20 + 3(10) = 100 Multiply 3 * 10 0.5x + 20 + 30 = 100 Reorder the terms: 20 + 30 + 0.5x = 100 Combine like terms: 20 + 30 = 50 50 + 0.5x = 100 Solving 50 + 0.5x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 0.5x = 100 + -50 Combine like terms: 50 + -50 = 0 0 + 0.5x = 100 + -50 0.5x = 100 + -50 Combine like terms: 100 + -50 = 50 0.5x = 50 Divide each side by '0.5'. x = 100 Simplifying x = 100
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