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Simplifying 0.5x + 2(20) + 3(5) = 100 Multiply 2 * 20 0.5x + 40 + 3(5) = 100 Multiply 3 * 5 0.5x + 40 + 15 = 100 Reorder the terms: 40 + 15 + 0.5x = 100 Combine like terms: 40 + 15 = 55 55 + 0.5x = 100 Solving 55 + 0.5x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 0.5x = 100 + -55 Combine like terms: 55 + -55 = 0 0 + 0.5x = 100 + -55 0.5x = 100 + -55 Combine like terms: 100 + -55 = 45 0.5x = 45 Divide each side by '0.5'. x = 90 Simplifying x = 90
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