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Simplifying 5(c + 2) = 3(x + 8) Reorder the terms: 5(2 + c) = 3(x + 8) (2 * 5 + c * 5) = 3(x + 8) (10 + 5c) = 3(x + 8) Reorder the terms: 10 + 5c = 3(8 + x) 10 + 5c = (8 * 3 + x * 3) 10 + 5c = (24 + 3x) Solving 10 + 5c = 24 + 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5c = 24 + -10 + 3x Combine like terms: 10 + -10 = 0 0 + 5c = 24 + -10 + 3x 5c = 24 + -10 + 3x Combine like terms: 24 + -10 = 14 5c = 14 + 3x Divide each side by '5'. c = 2.8 + 0.6x Simplifying c = 2.8 + 0.6x
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