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Simplifying 7.25x + 5 = 6.50x + 10.25 Reorder the terms: 5 + 7.25x = 6.50x + 10.25 Reorder the terms: 5 + 7.25x = 10.25 + 6.50x Solving 5 + 7.25x = 10.25 + 6.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.50x' to each side of the equation. 5 + 7.25x + -6.50x = 10.25 + 6.50x + -6.50x Combine like terms: 7.25x + -6.50x = 0.75x 5 + 0.75x = 10.25 + 6.50x + -6.50x Combine like terms: 6.50x + -6.50x = 0.00 5 + 0.75x = 10.25 + 0.00 5 + 0.75x = 10.25 Add '-5' to each side of the equation. 5 + -5 + 0.75x = 10.25 + -5 Combine like terms: 5 + -5 = 0 0 + 0.75x = 10.25 + -5 0.75x = 10.25 + -5 Combine like terms: 10.25 + -5 = 5.25 0.75x = 5.25 Divide each side by '0.75'. x = 7 Simplifying x = 7
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