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Simplifying 5x + -4 + -2c + 1 = 8c + 2 Reorder the terms: -4 + 1 + -2c + 5x = 8c + 2 Combine like terms: -4 + 1 = -3 -3 + -2c + 5x = 8c + 2 Reorder the terms: -3 + -2c + 5x = 2 + 8c Solving -3 + -2c + 5x = 2 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -3 + -2c + -8c + 5x = 2 + 8c + -8c Combine like terms: -2c + -8c = -10c -3 + -10c + 5x = 2 + 8c + -8c Combine like terms: 8c + -8c = 0 -3 + -10c + 5x = 2 + 0 -3 + -10c + 5x = 2 Add '3' to each side of the equation. -3 + -10c + 3 + 5x = 2 + 3 Reorder the terms: -3 + 3 + -10c + 5x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -10c + 5x = 2 + 3 -10c + 5x = 2 + 3 Combine like terms: 2 + 3 = 5 -10c + 5x = 5 Add '-5x' to each side of the equation. -10c + 5x + -5x = 5 + -5x Combine like terms: 5x + -5x = 0 -10c + 0 = 5 + -5x -10c = 5 + -5x Divide each side by '-10'. c = -0.5 + 0.5x Simplifying c = -0.5 + 0.5x
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