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Simplifying 5x(12 + c) = 100 (12 * 5x + c * 5x) = 100 Reorder the terms: (5cx + 60x) = 100 (5cx + 60x) = 100 Solving 5cx + 60x = 100 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-60x' to each side of the equation. 5cx + 60x + -60x = 100 + -60x Combine like terms: 60x + -60x = 0 5cx + 0 = 100 + -60x 5cx = 100 + -60x Divide each side by '5x'. c = 20x-1 + -12 Simplifying c = 20x-1 + -12 Reorder the terms: c = -12 + 20x-1
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