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Simplifying c + 7 = 5c + -1(3c + 4c) Reorder the terms: 7 + c = 5c + -1(3c + 4c) Combine like terms: 3c + 4c = 7c 7 + c = 5c + -1(7c) Remove parenthesis around (7c) 7 + c = 5c + -1 * 7c Multiply -1 * 7 7 + c = 5c + -7c Combine like terms: 5c + -7c = -2c 7 + c = -2c Solving 7 + c = -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. 7 + c + 2c = -2c + 2c Combine like terms: c + 2c = 3c 7 + 3c = -2c + 2c Combine like terms: -2c + 2c = 0 7 + 3c = 0 Add '-7' to each side of the equation. 7 + -7 + 3c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3c = 0 + -7 3c = 0 + -7 Combine like terms: 0 + -7 = -7 3c = -7 Divide each side by '3'. c = -2.333333333 Simplifying c = -2.333333333
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