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Simplifying x * 100 + (5 + -1x) * 25 = 275 Reorder the terms for easier multiplication: 100x + (5 + -1x) * 25 = 275 Reorder the terms for easier multiplication: 100x + 25(5 + -1x) = 275 100x + (5 * 25 + -1x * 25) = 275 100x + (125 + -25x) = 275 Reorder the terms: 125 + 100x + -25x = 275 Combine like terms: 100x + -25x = 75x 125 + 75x = 275 Solving 125 + 75x = 275 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + 75x = 275 + -125 Combine like terms: 125 + -125 = 0 0 + 75x = 275 + -125 75x = 275 + -125 Combine like terms: 275 + -125 = 150 75x = 150 Divide each side by '75'. x = 2 Simplifying x = 2
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