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Simplifying 5c + 7 = 3c + 1 Reorder the terms: 7 + 5c = 3c + 1 Reorder the terms: 7 + 5c = 1 + 3c Solving 7 + 5c = 1 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 7 + 5c + -3c = 1 + 3c + -3c Combine like terms: 5c + -3c = 2c 7 + 2c = 1 + 3c + -3c Combine like terms: 3c + -3c = 0 7 + 2c = 1 + 0 7 + 2c = 1 Add '-7' to each side of the equation. 7 + -7 + 2c = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 2c = 1 + -7 2c = 1 + -7 Combine like terms: 1 + -7 = -6 2c = -6 Divide each side by '2'. c = -3 Simplifying c = -3
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