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Simplifying 5(3 + c) + 2 = 2c + 3c + 17 (3 * 5 + c * 5) + 2 = 2c + 3c + 17 (15 + 5c) + 2 = 2c + 3c + 17 Reorder the terms: 15 + 2 + 5c = 2c + 3c + 17 Combine like terms: 15 + 2 = 17 17 + 5c = 2c + 3c + 17 Reorder the terms: 17 + 5c = 17 + 2c + 3c Combine like terms: 2c + 3c = 5c 17 + 5c = 17 + 5c Add '-17' to each side of the equation. 17 + -17 + 5c = 17 + -17 + 5c Combine like terms: 17 + -17 = 0 0 + 5c = 17 + -17 + 5c 5c = 17 + -17 + 5c Combine like terms: 17 + -17 = 0 5c = 0 + 5c 5c = 5c Add '-5c' to each side of the equation. 5c + -5c = 5c + -5c Combine like terms: 5c + -5c = 0 0 = 5c + -5c Combine like terms: 5c + -5c = 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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