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Simplifying 6x + -1c = 3(x + 2c) + 2 Reorder the terms: -1c + 6x = 3(x + 2c) + 2 Reorder the terms: -1c + 6x = 3(2c + x) + 2 -1c + 6x = (2c * 3 + x * 3) + 2 -1c + 6x = (6c + 3x) + 2 Reorder the terms: -1c + 6x = 2 + 6c + 3x Solving -1c + 6x = 2 + 6c + 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -1c + -6c + 6x = 2 + 6c + -6c + 3x Combine like terms: -1c + -6c = -7c -7c + 6x = 2 + 6c + -6c + 3x Combine like terms: 6c + -6c = 0 -7c + 6x = 2 + 0 + 3x -7c + 6x = 2 + 3x Add '-6x' to each side of the equation. -7c + 6x + -6x = 2 + 3x + -6x Combine like terms: 6x + -6x = 0 -7c + 0 = 2 + 3x + -6x -7c = 2 + 3x + -6x Combine like terms: 3x + -6x = -3x -7c = 2 + -3x Divide each side by '-7'. c = -0.2857142857 + 0.4285714286x Simplifying c = -0.2857142857 + 0.4285714286x
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