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Simplifying 100 + 12x = 80 + 10(n + 5) Reorder the terms: 100 + 12x = 80 + 10(5 + n) 100 + 12x = 80 + (5 * 10 + n * 10) 100 + 12x = 80 + (50 + 10n) Combine like terms: 80 + 50 = 130 100 + 12x = 130 + 10n Solving 100 + 12x = 130 + 10n 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 + 12x = 130 + -100 + 10n Combine like terms: 100 + -100 = 0 0 + 12x = 130 + -100 + 10n 12x = 130 + -100 + 10n Combine like terms: 130 + -100 = 30 12x = 30 + 10n Divide each side by '12'. x = 2.5 + 0.8333333333n Simplifying x = 2.5 + 0.8333333333n
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