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Simplifying 3(4x + -2) = 5n + -12 + -1n Reorder the terms: 3(-2 + 4x) = 5n + -12 + -1n (-2 * 3 + 4x * 3) = 5n + -12 + -1n (-6 + 12x) = 5n + -12 + -1n Reorder the terms: -6 + 12x = -12 + 5n + -1n Combine like terms: 5n + -1n = 4n -6 + 12x = -12 + 4n Solving -6 + 12x = -12 + 4n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 12x = -12 + 6 + 4n Combine like terms: -6 + 6 = 0 0 + 12x = -12 + 6 + 4n 12x = -12 + 6 + 4n Combine like terms: -12 + 6 = -6 12x = -6 + 4n Divide each side by '12'. x = -0.5 + 0.3333333333n Simplifying x = -0.5 + 0.3333333333n
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