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Simplifying c + 7 = 5c + -1(3 + 4c) Reorder the terms: 7 + c = 5c + -1(3 + 4c) 7 + c = 5c + (3 * -1 + 4c * -1) 7 + c = 5c + (-3 + -4c) Reorder the terms: 7 + c = -3 + 5c + -4c Combine like terms: 5c + -4c = 1c 7 + c = -3 + 1c Solving 7 + c = -3 + 1c 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. 7 + c + -1c = -3 + 1c + -1c Combine like terms: c + -1c = 0 7 + 0 = -3 + 1c + -1c 7 = -3 + 1c + -1c Combine like terms: 1c + -1c = 0 7 = -3 + 0 7 = -3 Add '-7' to each side of the equation. 7 + -7 = -3 + -7 Combine like terms: 7 + -7 = 0 0 = -3 + -7 Combine like terms: -3 + -7 = -10 0 = -10 Simplifying 0 = -10 Combine like terms: 0 + 10 = 10 10 = -10 + 10 Combine like terms: -10 + 10 = 0 10 = 0 The solution to this equation could not be determined.
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