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Simplifying 7c + 49 = 5c + 49 Reorder the terms: 49 + 7c = 5c + 49 Reorder the terms: 49 + 7c = 49 + 5c Add '-49' to each side of the equation. 49 + -49 + 7c = 49 + -49 + 5c Combine like terms: 49 + -49 = 0 0 + 7c = 49 + -49 + 5c 7c = 49 + -49 + 5c Combine like terms: 49 + -49 = 0 7c = 0 + 5c 7c = 5c Solving 7c = 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 7c + -5c = 5c + -5c Combine like terms: 7c + -5c = 2c 2c = 5c + -5c Combine like terms: 5c + -5c = 0 2c = 0 Divide each side by '2'. c = 0 Simplifying c = 0
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