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Simplifying 5x + -1c + 6 + 3c = -2c + 6 Reorder the terms: 6 + -1c + 3c + 5x = -2c + 6 Combine like terms: -1c + 3c = 2c 6 + 2c + 5x = -2c + 6 Reorder the terms: 6 + 2c + 5x = 6 + -2c Add '-6' to each side of the equation. 6 + 2c + -6 + 5x = 6 + -6 + -2c Reorder the terms: 6 + -6 + 2c + 5x = 6 + -6 + -2c Combine like terms: 6 + -6 = 0 0 + 2c + 5x = 6 + -6 + -2c 2c + 5x = 6 + -6 + -2c Combine like terms: 6 + -6 = 0 2c + 5x = 0 + -2c 2c + 5x = -2c Solving 2c + 5x = -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. 2c + 2c + 5x = -2c + 2c Combine like terms: 2c + 2c = 4c 4c + 5x = -2c + 2c Combine like terms: -2c + 2c = 0 4c + 5x = 0 Add '-5x' to each side of the equation. 4c + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 4c + 0 = 0 + -5x 4c = 0 + -5x Remove the zero: 4c = -5x Divide each side by '4'. c = -1.25x Simplifying c = -1.25x
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