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Simplifying 5c + 2(11 + -4x) = 82 + x 5c + (11 * 2 + -4x * 2) = 82 + x 5c + (22 + -8x) = 82 + x Reorder the terms: 22 + 5c + -8x = 82 + x Solving 22 + 5c + -8x = 82 + x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + 5c + -22 + -8x = 82 + -22 + x Reorder the terms: 22 + -22 + 5c + -8x = 82 + -22 + x Combine like terms: 22 + -22 = 0 0 + 5c + -8x = 82 + -22 + x 5c + -8x = 82 + -22 + x Combine like terms: 82 + -22 = 60 5c + -8x = 60 + x Add '8x' to each side of the equation. 5c + -8x + 8x = 60 + x + 8x Combine like terms: -8x + 8x = 0 5c + 0 = 60 + x + 8x 5c = 60 + x + 8x Combine like terms: x + 8x = 9x 5c = 60 + 9x Divide each side by '5'. c = 12 + 1.8x Simplifying c = 12 + 1.8x
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