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Simplifying 5.50x + 9.30(170 + -1x) = 1284.60 5.50x + (170 * 9.30 + -1x * 9.30) = 1284.60 5.50x + (1581 + -9.3x) = 1284.60 Reorder the terms: 1581 + 5.50x + -9.3x = 1284.60 Combine like terms: 5.50x + -9.3x = -3.8x 1581 + -3.8x = 1284.60 Solving 1581 + -3.8x = 1284.60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1581' to each side of the equation. 1581 + -1581 + -3.8x = 1284.60 + -1581 Combine like terms: 1581 + -1581 = 0 0 + -3.8x = 1284.60 + -1581 -3.8x = 1284.60 + -1581 Combine like terms: 1284.60 + -1581 = -296.4 -3.8x = -296.4 Divide each side by '-3.8'. x = 78 Simplifying x = 78
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