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Simplifying 5x + 2(c + 6) = 0 Reorder the terms: 5x + 2(6 + c) = 0 5x + (6 * 2 + c * 2) = 0 5x + (12 + 2c) = 0 Reorder the terms: 12 + 2c + 5x = 0 Solving 12 + 2c + 5x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2c + -12 + 5x = 0 + -12 Reorder the terms: 12 + -12 + 2c + 5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2c + 5x = 0 + -12 2c + 5x = 0 + -12 Combine like terms: 0 + -12 = -12 2c + 5x = -12 Add '-5x' to each side of the equation. 2c + 5x + -5x = -12 + -5x Combine like terms: 5x + -5x = 0 2c + 0 = -12 + -5x 2c = -12 + -5x Divide each side by '2'. c = -6 + -2.5x Simplifying c = -6 + -2.5x
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