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Simplifying 8(3 + c) = 11(x + -5) (3 * 8 + c * 8) = 11(x + -5) (24 + 8c) = 11(x + -5) Reorder the terms: 24 + 8c = 11(-5 + x) 24 + 8c = (-5 * 11 + x * 11) 24 + 8c = (-55 + 11x) Solving 24 + 8c = -55 + 11x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8c = -55 + -24 + 11x Combine like terms: 24 + -24 = 0 0 + 8c = -55 + -24 + 11x 8c = -55 + -24 + 11x Combine like terms: -55 + -24 = -79 8c = -79 + 11x Divide each side by '8'. c = -9.875 + 1.375x Simplifying c = -9.875 + 1.375x
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