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Simplifying 3(4c + 5) = 5(1.5 + x) Reorder the terms: 3(5 + 4c) = 5(1.5 + x) (5 * 3 + 4c * 3) = 5(1.5 + x) (15 + 12c) = 5(1.5 + x) 15 + 12c = (1.5 * 5 + x * 5) 15 + 12c = (7.5 + 5x) Solving 15 + 12c = 7.5 + 5x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 12c = 7.5 + -15 + 5x Combine like terms: 15 + -15 = 0 0 + 12c = 7.5 + -15 + 5x 12c = 7.5 + -15 + 5x Combine like terms: 7.5 + -15 = -7.5 12c = -7.5 + 5x Divide each side by '12'. c = -0.625 + 0.4166666667x Simplifying c = -0.625 + 0.4166666667x
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