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Simplifying 4x + 2c + 1 = 3c + -1x + 21 Reorder the terms: 1 + 2c + 4x = 3c + -1x + 21 Reorder the terms: 1 + 2c + 4x = 21 + 3c + -1x Solving 1 + 2c + 4x = 21 + 3c + -1x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 1 + 2c + -3c + 4x = 21 + 3c + -3c + -1x Combine like terms: 2c + -3c = -1c 1 + -1c + 4x = 21 + 3c + -3c + -1x Combine like terms: 3c + -3c = 0 1 + -1c + 4x = 21 + 0 + -1x 1 + -1c + 4x = 21 + -1x Add '-1' to each side of the equation. 1 + -1c + -1 + 4x = 21 + -1 + -1x Reorder the terms: 1 + -1 + -1c + 4x = 21 + -1 + -1x Combine like terms: 1 + -1 = 0 0 + -1c + 4x = 21 + -1 + -1x -1c + 4x = 21 + -1 + -1x Combine like terms: 21 + -1 = 20 -1c + 4x = 20 + -1x Add '-4x' to each side of the equation. -1c + 4x + -4x = 20 + -1x + -4x Combine like terms: 4x + -4x = 0 -1c + 0 = 20 + -1x + -4x -1c = 20 + -1x + -4x Combine like terms: -1x + -4x = -5x -1c = 20 + -5x Divide each side by '-1'. c = -20 + 5x Simplifying c = -20 + 5x
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