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Simplifying 100 + 12x = 70 + 5(n + 2) Reorder the terms: 100 + 12x = 70 + 5(2 + n) 100 + 12x = 70 + (2 * 5 + n * 5) 100 + 12x = 70 + (10 + 5n) Combine like terms: 70 + 10 = 80 100 + 12x = 80 + 5n Solving 100 + 12x = 80 + 5n 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 = 80 + -100 + 5n Combine like terms: 100 + -100 = 0 0 + 12x = 80 + -100 + 5n 12x = 80 + -100 + 5n Combine like terms: 80 + -100 = -20 12x = -20 + 5n Divide each side by '12'. x = -1.666666667 + 0.4166666667n Simplifying x = -1.666666667 + 0.4166666667n
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