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Simplifying c + 50 = 2c + 45 Reorder the terms: 50 + c = 2c + 45 Reorder the terms: 50 + c = 45 + 2c Solving 50 + c = 45 + 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. 50 + c + -2c = 45 + 2c + -2c Combine like terms: c + -2c = -1c 50 + -1c = 45 + 2c + -2c Combine like terms: 2c + -2c = 0 50 + -1c = 45 + 0 50 + -1c = 45 Add '-50' to each side of the equation. 50 + -50 + -1c = 45 + -50 Combine like terms: 50 + -50 = 0 0 + -1c = 45 + -50 -1c = 45 + -50 Combine like terms: 45 + -50 = -5 -1c = -5 Divide each side by '-1'. c = 5 Simplifying c = 5
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