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Simplifying 6(2x + -1) = 4n + -5(x + 3) Reorder the terms: 6(-1 + 2x) = 4n + -5(x + 3) (-1 * 6 + 2x * 6) = 4n + -5(x + 3) (-6 + 12x) = 4n + -5(x + 3) Reorder the terms: -6 + 12x = 4n + -5(3 + x) -6 + 12x = 4n + (3 * -5 + x * -5) -6 + 12x = 4n + (-15 + -5x) Reorder the terms: -6 + 12x = -15 + 4n + -5x Solving -6 + 12x = -15 + 4n + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + 12x + 5x = -15 + 4n + -5x + 5x Combine like terms: 12x + 5x = 17x -6 + 17x = -15 + 4n + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 17x = -15 + 4n + 0 -6 + 17x = -15 + 4n Add '6' to each side of the equation. -6 + 6 + 17x = -15 + 6 + 4n Combine like terms: -6 + 6 = 0 0 + 17x = -15 + 6 + 4n 17x = -15 + 6 + 4n Combine like terms: -15 + 6 = -9 17x = -9 + 4n Divide each side by '17'. x = -0.5294117647 + 0.2352941176n Simplifying x = -0.5294117647 + 0.2352941176n
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