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Simplifying 2c + -4(1 + -1x) = 5x + 14 2c + (1 * -4 + -1x * -4) = 5x + 14 2c + (-4 + 4x) = 5x + 14 Reorder the terms: -4 + 2c + 4x = 5x + 14 Reorder the terms: -4 + 2c + 4x = 14 + 5x Solving -4 + 2c + 4x = 14 + 5x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2c + 4 + 4x = 14 + 4 + 5x Reorder the terms: -4 + 4 + 2c + 4x = 14 + 4 + 5x Combine like terms: -4 + 4 = 0 0 + 2c + 4x = 14 + 4 + 5x 2c + 4x = 14 + 4 + 5x Combine like terms: 14 + 4 = 18 2c + 4x = 18 + 5x Add '-4x' to each side of the equation. 2c + 4x + -4x = 18 + 5x + -4x Combine like terms: 4x + -4x = 0 2c + 0 = 18 + 5x + -4x 2c = 18 + 5x + -4x Combine like terms: 5x + -4x = 1x 2c = 18 + 1x Divide each side by '2'. c = 9 + 0.5x Simplifying c = 9 + 0.5x
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