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Simplifying 3c + -4x + 1 = 5c + 2 + 3 Reorder the terms: 1 + 3c + -4x = 5c + 2 + 3 Reorder the terms: 1 + 3c + -4x = 2 + 3 + 5c Combine like terms: 2 + 3 = 5 1 + 3c + -4x = 5 + 5c Solving 1 + 3c + -4x = 5 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 1 + 3c + -5c + -4x = 5 + 5c + -5c Combine like terms: 3c + -5c = -2c 1 + -2c + -4x = 5 + 5c + -5c Combine like terms: 5c + -5c = 0 1 + -2c + -4x = 5 + 0 1 + -2c + -4x = 5 Add '-1' to each side of the equation. 1 + -2c + -1 + -4x = 5 + -1 Reorder the terms: 1 + -1 + -2c + -4x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -2c + -4x = 5 + -1 -2c + -4x = 5 + -1 Combine like terms: 5 + -1 = 4 -2c + -4x = 4 Add '4x' to each side of the equation. -2c + -4x + 4x = 4 + 4x Combine like terms: -4x + 4x = 0 -2c + 0 = 4 + 4x -2c = 4 + 4x Divide each side by '-2'. c = -2 + -2x Simplifying c = -2 + -2x
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