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Simplifying c + 7 = 2c + 1 Reorder the terms: 7 + c = 2c + 1 Reorder the terms: 7 + c = 1 + 2c Solving 7 + c = 1 + 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 = 1 + 2c + -2c Combine like terms: c + -2c = -1c 7 + -1c = 1 + 2c + -2c Combine like terms: 2c + -2c = 0 7 + -1c = 1 + 0 7 + -1c = 1 Add '-7' to each side of the equation. 7 + -7 + -1c = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -1c = 1 + -7 -1c = 1 + -7 Combine like terms: 1 + -7 = -6 -1c = -6 Divide each side by '-1'. c = 6 Simplifying c = 6
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