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Simplifying 4c + 2x + -4 + 5 + 7x = 5b + -4c + 72 Reorder the terms: -4 + 5 + 4c + 2x + 7x = 5b + -4c + 72 Combine like terms: -4 + 5 = 1 1 + 4c + 2x + 7x = 5b + -4c + 72 Combine like terms: 2x + 7x = 9x 1 + 4c + 9x = 5b + -4c + 72 Reorder the terms: 1 + 4c + 9x = 72 + 5b + -4c Solving 1 + 4c + 9x = 72 + 5b + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 1 + 4c + 4c + 9x = 72 + 5b + -4c + 4c Combine like terms: 4c + 4c = 8c 1 + 8c + 9x = 72 + 5b + -4c + 4c Combine like terms: -4c + 4c = 0 1 + 8c + 9x = 72 + 5b + 0 1 + 8c + 9x = 72 + 5b Add '-1' to each side of the equation. 1 + 8c + -1 + 9x = 72 + -1 + 5b Reorder the terms: 1 + -1 + 8c + 9x = 72 + -1 + 5b Combine like terms: 1 + -1 = 0 0 + 8c + 9x = 72 + -1 + 5b 8c + 9x = 72 + -1 + 5b Combine like terms: 72 + -1 = 71 8c + 9x = 71 + 5b Add '-9x' to each side of the equation. 8c + 9x + -9x = 71 + 5b + -9x Combine like terms: 9x + -9x = 0 8c + 0 = 71 + 5b + -9x 8c = 71 + 5b + -9x Divide each side by '8'. c = 8.875 + 0.625b + -1.125x Simplifying c = 8.875 + 0.625b + -1.125x
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