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Simplifying 2c + 4 + -3x = -9 + x + 5 Reorder the terms: 4 + 2c + -3x = -9 + x + 5 Reorder the terms: 4 + 2c + -3x = -9 + 5 + x Combine like terms: -9 + 5 = -4 4 + 2c + -3x = -4 + x Solving 4 + 2c + -3x = -4 + x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2c + -4 + -3x = -4 + -4 + x Reorder the terms: 4 + -4 + 2c + -3x = -4 + -4 + x Combine like terms: 4 + -4 = 0 0 + 2c + -3x = -4 + -4 + x 2c + -3x = -4 + -4 + x Combine like terms: -4 + -4 = -8 2c + -3x = -8 + x Add '3x' to each side of the equation. 2c + -3x + 3x = -8 + x + 3x Combine like terms: -3x + 3x = 0 2c + 0 = -8 + x + 3x 2c = -8 + x + 3x Combine like terms: x + 3x = 4x 2c = -8 + 4x Divide each side by '2'. c = -4 + 2x Simplifying c = -4 + 2x
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