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