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Simplifying 4.50x + 8.25(180 + -1x) = 1222.50 4.50x + (180 * 8.25 + -1x * 8.25) = 1222.50 4.50x + (1485 + -8.25x) = 1222.50 Reorder the terms: 1485 + 4.50x + -8.25x = 1222.50 Combine like terms: 4.50x + -8.25x = -3.75x 1485 + -3.75x = 1222.50 Solving 1485 + -3.75x = 1222.50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1485' to each side of the equation. 1485 + -1485 + -3.75x = 1222.50 + -1485 Combine like terms: 1485 + -1485 = 0 0 + -3.75x = 1222.50 + -1485 -3.75x = 1222.50 + -1485 Combine like terms: 1222.50 + -1485 = -262.5 -3.75x = -262.5 Divide each side by '-3.75'. x = 70 Simplifying x = 70
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