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Simplifying c + 5x + 6 + 7x = 0 Reorder the terms: 6 + c + 5x + 7x = 0 Combine like terms: 5x + 7x = 12x 6 + c + 12x = 0 Solving 6 + c + 12x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + c + -6 + 12x = 0 + -6 Reorder the terms: 6 + -6 + c + 12x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + c + 12x = 0 + -6 c + 12x = 0 + -6 Combine like terms: 0 + -6 = -6 c + 12x = -6 Add '-12x' to each side of the equation. c + 12x + -12x = -6 + -12x Combine like terms: 12x + -12x = 0 c + 0 = -6 + -12x c = -6 + -12x Simplifying c = -6 + -12x
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