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Simplifying 5c + -7 = c + 49 Reorder the terms: -7 + 5c = c + 49 Reorder the terms: -7 + 5c = 49 + c Solving -7 + 5c = 49 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -7 + 5c + -1c = 49 + c + -1c Combine like terms: 5c + -1c = 4c -7 + 4c = 49 + c + -1c Combine like terms: c + -1c = 0 -7 + 4c = 49 + 0 -7 + 4c = 49 Add '7' to each side of the equation. -7 + 7 + 4c = 49 + 7 Combine like terms: -7 + 7 = 0 0 + 4c = 49 + 7 4c = 49 + 7 Combine like terms: 49 + 7 = 56 4c = 56 Divide each side by '4'. c = 14 Simplifying c = 14
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