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Simplifying (2c + 6) * x + -8 = 0 Reorder the terms: (6 + 2c) * x + -8 = 0 Reorder the terms for easier multiplication: x(6 + 2c) + -8 = 0 (6 * x + 2c * x) + -8 = 0 Reorder the terms: (2cx + 6x) + -8 = 0 (2cx + 6x) + -8 = 0 Reorder the terms: -8 + 2cx + 6x = 0 Solving -8 + 2cx + 6x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 2cx + 8 + 6x = 0 + 8 Reorder the terms: -8 + 8 + 2cx + 6x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2cx + 6x = 0 + 8 2cx + 6x = 0 + 8 Combine like terms: 0 + 8 = 8 2cx + 6x = 8 Add '-6x' to each side of the equation. 2cx + 6x + -6x = 8 + -6x Combine like terms: 6x + -6x = 0 2cx + 0 = 8 + -6x 2cx = 8 + -6x Divide each side by '2x'. c = 4x-1 + -3 Simplifying c = 4x-1 + -3 Reorder the terms: c = -3 + 4x-1
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