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Simplifying 2x * 100 + 3x * 50 + 5x * 10 = 400000 Reorder the terms for easier multiplication: 2 * 100x + 3x * 50 + 5x * 10 = 400000 Multiply 2 * 100 200x + 3x * 50 + 5x * 10 = 400000 Reorder the terms for easier multiplication: 200x + 3 * 50x + 5x * 10 = 400000 Multiply 3 * 50 200x + 150x + 5x * 10 = 400000 Reorder the terms for easier multiplication: 200x + 150x + 5 * 10x = 400000 Multiply 5 * 10 200x + 150x + 50x = 400000 Combine like terms: 200x + 150x = 350x 350x + 50x = 400000 Combine like terms: 350x + 50x = 400x 400x = 400000 Solving 400x = 400000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '400'. x = 1000 Simplifying x = 1000
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