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Simplifying 7x + 5.50(x + 100) = 3825 Reorder the terms: 7x + 5.50(100 + x) = 3825 7x + (100 * 5.50 + x * 5.50) = 3825 7x + (550 + 5.50x) = 3825 Reorder the terms: 550 + 7x + 5.50x = 3825 Combine like terms: 7x + 5.50x = 12.5x 550 + 12.5x = 3825 Solving 550 + 12.5x = 3825 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-550' to each side of the equation. 550 + -550 + 12.5x = 3825 + -550 Combine like terms: 550 + -550 = 0 0 + 12.5x = 3825 + -550 12.5x = 3825 + -550 Combine like terms: 3825 + -550 = 3275 12.5x = 3275 Divide each side by '12.5'. x = 262 Simplifying x = 262
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