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Simplifying 10.1 + 0.45(x + 12) = 6.244 Reorder the terms: 10.1 + 0.45(12 + x) = 6.244 10.1 + (12 * 0.45 + x * 0.45) = 6.244 10.1 + (5.4 + 0.45x) = 6.244 Combine like terms: 10.1 + 5.4 = 15.5 15.5 + 0.45x = 6.244 Solving 15.5 + 0.45x = 6.244 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.5' to each side of the equation. 15.5 + -15.5 + 0.45x = 6.244 + -15.5 Combine like terms: 15.5 + -15.5 = 0.0 0.0 + 0.45x = 6.244 + -15.5 0.45x = 6.244 + -15.5 Combine like terms: 6.244 + -15.5 = -9.256 0.45x = -9.256 Divide each side by '0.45'. x = -20.56888889 Simplifying x = -20.56888889
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