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Simplifying 65x = 55(x + 100) Reorder the terms: 65x = 55(100 + x) 65x = (100 * 55 + x * 55) 65x = (5500 + 55x) Solving 65x = 5500 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. 65x + -55x = 5500 + 55x + -55x Combine like terms: 65x + -55x = 10x 10x = 5500 + 55x + -55x Combine like terms: 55x + -55x = 0 10x = 5500 + 0 10x = 5500 Divide each side by '10'. x = 550 Simplifying x = 550
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