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Simplifying 5.50x + (100) * 6.25 = (x + 100) * 5.50 Multiply 100 * 6.25 5.50x + 625 = (x + 100) * 5.50 Reorder the terms: 625 + 5.50x = (x + 100) * 5.50 Reorder the terms: 625 + 5.50x = (100 + x) * 5.50 Reorder the terms for easier multiplication: 625 + 5.50x = 5.50(100 + x) 625 + 5.50x = (100 * 5.50 + x * 5.50) 625 + 5.50x = (550 + 5.50x) Add '-5.50x' to each side of the equation. 625 + 5.50x + -5.50x = 550 + 5.50x + -5.50x Combine like terms: 5.50x + -5.50x = 0.00 625 + 0.00 = 550 + 5.50x + -5.50x 625 = 550 + 5.50x + -5.50x Combine like terms: 5.50x + -5.50x = 0.00 625 = 550 + 0.00 625 = 550 Solving 625 = 550 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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