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Simplifying 3.50x + 2.25(27 + -1x) = 82 3.50x + (27 * 2.25 + -1x * 2.25) = 82 3.50x + (60.75 + -2.25x) = 82 Reorder the terms: 60.75 + 3.50x + -2.25x = 82 Combine like terms: 3.50x + -2.25x = 1.25x 60.75 + 1.25x = 82 Solving 60.75 + 1.25x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60.75' to each side of the equation. 60.75 + -60.75 + 1.25x = 82 + -60.75 Combine like terms: 60.75 + -60.75 = 0.00 0.00 + 1.25x = 82 + -60.75 1.25x = 82 + -60.75 Combine like terms: 82 + -60.75 = 21.25 1.25x = 21.25 Divide each side by '1.25'. x = 17 Simplifying x = 17
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