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Simplifying 16.50x + 289 = 18.75x + 274.60 Reorder the terms: 289 + 16.50x = 18.75x + 274.60 Reorder the terms: 289 + 16.50x = 274.60 + 18.75x Solving 289 + 16.50x = 274.60 + 18.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18.75x' to each side of the equation. 289 + 16.50x + -18.75x = 274.60 + 18.75x + -18.75x Combine like terms: 16.50x + -18.75x = -2.25x 289 + -2.25x = 274.60 + 18.75x + -18.75x Combine like terms: 18.75x + -18.75x = 0.00 289 + -2.25x = 274.60 + 0.00 289 + -2.25x = 274.60 Add '-289' to each side of the equation. 289 + -289 + -2.25x = 274.60 + -289 Combine like terms: 289 + -289 = 0 0 + -2.25x = 274.60 + -289 -2.25x = 274.60 + -289 Combine like terms: 274.60 + -289 = -14.4 -2.25x = -14.4 Divide each side by '-2.25'. x = 6.4 Simplifying x = 6.4
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