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Simplifying 6x + -2c = 3(x + -1c) + 2 Reorder the terms: -2c + 6x = 3(x + -1c) + 2 Reorder the terms: -2c + 6x = 3(-1c + x) + 2 -2c + 6x = (-1c * 3 + x * 3) + 2 -2c + 6x = (-3c + 3x) + 2 Reorder the terms: -2c + 6x = 2 + -3c + 3x Solving -2c + 6x = 2 + -3c + 3x 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. -2c + 3c + 6x = 2 + -3c + 3c + 3x Combine like terms: -2c + 3c = 1c 1c + 6x = 2 + -3c + 3c + 3x Combine like terms: -3c + 3c = 0 1c + 6x = 2 + 0 + 3x 1c + 6x = 2 + 3x Add '-6x' to each side of the equation. 1c + 6x + -6x = 2 + 3x + -6x Combine like terms: 6x + -6x = 0 1c + 0 = 2 + 3x + -6x 1c = 2 + 3x + -6x Combine like terms: 3x + -6x = -3x 1c = 2 + -3x Divide each side by '1'. c = 2 + -3x Simplifying c = 2 + -3x
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