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Simplifying 25 + 75(x + 1) = 625 Reorder the terms: 25 + 75(1 + x) = 625 25 + (1 * 75 + x * 75) = 625 25 + (75 + 75x) = 625 Combine like terms: 25 + 75 = 100 100 + 75x = 625 Solving 100 + 75x = 625 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 75x = 625 + -100 Combine like terms: 100 + -100 = 0 0 + 75x = 625 + -100 75x = 625 + -100 Combine like terms: 625 + -100 = 525 75x = 525 Divide each side by '75'. x = 7 Simplifying x = 7
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