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Simplifying 5c + 2(11 + -4x) = 82 + c 5c + (11 * 2 + -4x * 2) = 82 + c 5c + (22 + -8x) = 82 + c Reorder the terms: 22 + 5c + -8x = 82 + c Solving 22 + 5c + -8x = 82 + 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. 22 + 5c + -1c + -8x = 82 + c + -1c Combine like terms: 5c + -1c = 4c 22 + 4c + -8x = 82 + c + -1c Combine like terms: c + -1c = 0 22 + 4c + -8x = 82 + 0 22 + 4c + -8x = 82 Add '-22' to each side of the equation. 22 + 4c + -22 + -8x = 82 + -22 Reorder the terms: 22 + -22 + 4c + -8x = 82 + -22 Combine like terms: 22 + -22 = 0 0 + 4c + -8x = 82 + -22 4c + -8x = 82 + -22 Combine like terms: 82 + -22 = 60 4c + -8x = 60 Add '8x' to each side of the equation. 4c + -8x + 8x = 60 + 8x Combine like terms: -8x + 8x = 0 4c + 0 = 60 + 8x 4c = 60 + 8x Divide each side by '4'. c = 15 + 2x Simplifying c = 15 + 2x
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