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Simplifying 1 + 2(3c + 5) = 47 Reorder the terms: 1 + 2(5 + 3c) = 47 1 + (5 * 2 + 3c * 2) = 47 1 + (10 + 6c) = 47 Combine like terms: 1 + 10 = 11 11 + 6c = 47 Solving 11 + 6c = 47 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6c = 47 + -11 Combine like terms: 11 + -11 = 0 0 + 6c = 47 + -11 6c = 47 + -11 Combine like terms: 47 + -11 = 36 6c = 36 Divide each side by '6'. c = 6 Simplifying c = 6
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