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Simplifying 5x + -1c = 3(x + 2c) + 2 Reorder the terms: -1c + 5x = 3(x + 2c) + 2 Reorder the terms: -1c + 5x = 3(2c + x) + 2 -1c + 5x = (2c * 3 + x * 3) + 2 -1c + 5x = (6c + 3x) + 2 Reorder the terms: -1c + 5x = 2 + 6c + 3x Solving -1c + 5x = 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 + 5x = 2 + 6c + -6c + 3x Combine like terms: -1c + -6c = -7c -7c + 5x = 2 + 6c + -6c + 3x Combine like terms: 6c + -6c = 0 -7c + 5x = 2 + 0 + 3x -7c + 5x = 2 + 3x Add '-5x' to each side of the equation. -7c + 5x + -5x = 2 + 3x + -5x Combine like terms: 5x + -5x = 0 -7c + 0 = 2 + 3x + -5x -7c = 2 + 3x + -5x Combine like terms: 3x + -5x = -2x -7c = 2 + -2x Divide each side by '-7'. c = -0.2857142857 + 0.2857142857x Simplifying c = -0.2857142857 + 0.2857142857x
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