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Simplifying -1(x + 3c) = -5c Reorder the terms: -1(3c + x) = -5c (3c * -1 + x * -1) = -5c (-3c + -1x) = -5c Solving -3c + -1x = -5c 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. -3c + 5c + -1x = -5c + 5c Combine like terms: -3c + 5c = 2c 2c + -1x = -5c + 5c Combine like terms: -5c + 5c = 0 2c + -1x = 0 Add 'x' to each side of the equation. 2c + -1x + x = 0 + x Combine like terms: -1x + x = 0 2c + 0 = 0 + x 2c = 0 + x Remove the zero: 2c = x Divide each side by '2'. c = 0.5x Simplifying c = 0.5x
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