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Simplifying 2(c + 4) = 5(x + 6) Reorder the terms: 2(4 + c) = 5(x + 6) (4 * 2 + c * 2) = 5(x + 6) (8 + 2c) = 5(x + 6) Reorder the terms: 8 + 2c = 5(6 + x) 8 + 2c = (6 * 5 + x * 5) 8 + 2c = (30 + 5x) Solving 8 + 2c = 30 + 5x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2c = 30 + -8 + 5x Combine like terms: 8 + -8 = 0 0 + 2c = 30 + -8 + 5x 2c = 30 + -8 + 5x Combine like terms: 30 + -8 = 22 2c = 22 + 5x Divide each side by '2'. c = 11 + 2.5x Simplifying c = 11 + 2.5x
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