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Simplifying 6(6 + c) = 5(x + -1) (6 * 6 + c * 6) = 5(x + -1) (36 + 6c) = 5(x + -1) Reorder the terms: 36 + 6c = 5(-1 + x) 36 + 6c = (-1 * 5 + x * 5) 36 + 6c = (-5 + 5x) Solving 36 + 6c = -5 + 5x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 6c = -5 + -36 + 5x Combine like terms: 36 + -36 = 0 0 + 6c = -5 + -36 + 5x 6c = -5 + -36 + 5x Combine like terms: -5 + -36 = -41 6c = -41 + 5x Divide each side by '6'. c = -6.833333333 + 0.8333333333x Simplifying c = -6.833333333 + 0.8333333333x
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