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Simplifying 5(2c + 7) + -3c = 7c + 7 Reorder the terms: 5(7 + 2c) + -3c = 7c + 7 (7 * 5 + 2c * 5) + -3c = 7c + 7 (35 + 10c) + -3c = 7c + 7 Combine like terms: 10c + -3c = 7c 35 + 7c = 7c + 7 Reorder the terms: 35 + 7c = 7 + 7c Add '-7c' to each side of the equation. 35 + 7c + -7c = 7 + 7c + -7c Combine like terms: 7c + -7c = 0 35 + 0 = 7 + 7c + -7c 35 = 7 + 7c + -7c Combine like terms: 7c + -7c = 0 35 = 7 + 0 35 = 7 Solving 35 = 7 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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