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Simplifying 7c + 1 = c + 7 Reorder the terms: 1 + 7c = c + 7 Reorder the terms: 1 + 7c = 7 + c Solving 1 + 7c = 7 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 1 + 7c + -1c = 7 + c + -1c Combine like terms: 7c + -1c = 6c 1 + 6c = 7 + c + -1c Combine like terms: c + -1c = 0 1 + 6c = 7 + 0 1 + 6c = 7 Add '-1' to each side of the equation. 1 + -1 + 6c = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 6c = 7 + -1 6c = 7 + -1 Combine like terms: 7 + -1 = 6 6c = 6 Divide each side by '6'. c = 1 Simplifying c = 1
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