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Simplifying 2c + (3x + -4) = -4c + -4 Reorder the terms: 2c + (-4 + 3x) = -4c + -4 Remove parenthesis around (-4 + 3x) 2c + -4 + 3x = -4c + -4 Reorder the terms: -4 + 2c + 3x = -4c + -4 Reorder the terms: -4 + 2c + 3x = -4 + -4c Add '4' to each side of the equation. -4 + 2c + 4 + 3x = -4 + 4 + -4c Reorder the terms: -4 + 4 + 2c + 3x = -4 + 4 + -4c Combine like terms: -4 + 4 = 0 0 + 2c + 3x = -4 + 4 + -4c 2c + 3x = -4 + 4 + -4c Combine like terms: -4 + 4 = 0 2c + 3x = 0 + -4c 2c + 3x = -4c Solving 2c + 3x = -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 2c + 4c + 3x = -4c + 4c Combine like terms: 2c + 4c = 6c 6c + 3x = -4c + 4c Combine like terms: -4c + 4c = 0 6c + 3x = 0 Add '-3x' to each side of the equation. 6c + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 6c + 0 = 0 + -3x 6c = 0 + -3x Remove the zero: 6c = -3x Divide each side by '6'. c = -0.5x Simplifying c = -0.5x
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