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Simplifying 4x + 1 + 2c = 5c + -3x + 6 Reorder the terms: 1 + 2c + 4x = 5c + -3x + 6 Reorder the terms: 1 + 2c + 4x = 6 + 5c + -3x Solving 1 + 2c + 4x = 6 + 5c + -3x 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 + 2c + -5c + 4x = 6 + 5c + -5c + -3x Combine like terms: 2c + -5c = -3c 1 + -3c + 4x = 6 + 5c + -5c + -3x Combine like terms: 5c + -5c = 0 1 + -3c + 4x = 6 + 0 + -3x 1 + -3c + 4x = 6 + -3x Add '-1' to each side of the equation. 1 + -3c + -1 + 4x = 6 + -1 + -3x Reorder the terms: 1 + -1 + -3c + 4x = 6 + -1 + -3x Combine like terms: 1 + -1 = 0 0 + -3c + 4x = 6 + -1 + -3x -3c + 4x = 6 + -1 + -3x Combine like terms: 6 + -1 = 5 -3c + 4x = 5 + -3x Add '-4x' to each side of the equation. -3c + 4x + -4x = 5 + -3x + -4x Combine like terms: 4x + -4x = 0 -3c + 0 = 5 + -3x + -4x -3c = 5 + -3x + -4x Combine like terms: -3x + -4x = -7x -3c = 5 + -7x Divide each side by '-3'. c = -1.666666667 + 2.333333333x Simplifying c = -1.666666667 + 2.333333333x
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