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Simplifying 7(c + 1) = 5(c + 3) Reorder the terms: 7(1 + c) = 5(c + 3) (1 * 7 + c * 7) = 5(c + 3) (7 + 7c) = 5(c + 3) Reorder the terms: 7 + 7c = 5(3 + c) 7 + 7c = (3 * 5 + c * 5) 7 + 7c = (15 + 5c) Solving 7 + 7c = 15 + 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. 7 + 7c + -5c = 15 + 5c + -5c Combine like terms: 7c + -5c = 2c 7 + 2c = 15 + 5c + -5c Combine like terms: 5c + -5c = 0 7 + 2c = 15 + 0 7 + 2c = 15 Add '-7' to each side of the equation. 7 + -7 + 2c = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 2c = 15 + -7 2c = 15 + -7 Combine like terms: 15 + -7 = 8 2c = 8 Divide each side by '2'. c = 4 Simplifying c = 4
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