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Simplifying 3c + 7 = 5c + -3 Reorder the terms: 7 + 3c = 5c + -3 Reorder the terms: 7 + 3c = -3 + 5c Solving 7 + 3c = -3 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 7 + 3c + -5c = -3 + 5c + -5c Combine like terms: 3c + -5c = -2c 7 + -2c = -3 + 5c + -5c Combine like terms: 5c + -5c = 0 7 + -2c = -3 + 0 7 + -2c = -3 Add '-7' to each side of the equation. 7 + -7 + -2c = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2c = -3 + -7 -2c = -3 + -7 Combine like terms: -3 + -7 = -10 -2c = -10 Divide each side by '-2'. c = 5 Simplifying c = 5
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