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Simplifying 2(c + -5 + 3x) = 14 Reorder the terms: 2(-5 + c + 3x) = 14 (-5 * 2 + c * 2 + 3x * 2) = 14 (-10 + 2c + 6x) = 14 Solving -10 + 2c + 6x = 14 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 + 2c + 10 + 6x = 14 + 10 Reorder the terms: -10 + 10 + 2c + 6x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 2c + 6x = 14 + 10 2c + 6x = 14 + 10 Combine like terms: 14 + 10 = 24 2c + 6x = 24 Add '-6x' to each side of the equation. 2c + 6x + -6x = 24 + -6x Combine like terms: 6x + -6x = 0 2c + 0 = 24 + -6x 2c = 24 + -6x Divide each side by '2'. c = 12 + -3x Simplifying c = 12 + -3x
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