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Simplifying 2c + 10 + 5c + -3 = 7(c + 1) Reorder the terms: 10 + -3 + 2c + 5c = 7(c + 1) Combine like terms: 10 + -3 = 7 7 + 2c + 5c = 7(c + 1) Combine like terms: 2c + 5c = 7c 7 + 7c = 7(c + 1) Reorder the terms: 7 + 7c = 7(1 + c) 7 + 7c = (1 * 7 + c * 7) 7 + 7c = (7 + 7c) Add '-7' to each side of the equation. 7 + -7 + 7c = 7 + -7 + 7c Combine like terms: 7 + -7 = 0 0 + 7c = 7 + -7 + 7c 7c = 7 + -7 + 7c Combine like terms: 7 + -7 = 0 7c = 0 + 7c 7c = 7c Add '-7c' to each side of the equation. 7c + -7c = 7c + -7c Combine like terms: 7c + -7c = 0 0 = 7c + -7c Combine like terms: 7c + -7c = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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