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Simplifying 2(4x + -3) + -8 = -3(1 + 7n) Reorder the terms: 2(-3 + 4x) + -8 = -3(1 + 7n) (-3 * 2 + 4x * 2) + -8 = -3(1 + 7n) (-6 + 8x) + -8 = -3(1 + 7n) Reorder the terms: -6 + -8 + 8x = -3(1 + 7n) Combine like terms: -6 + -8 = -14 -14 + 8x = -3(1 + 7n) -14 + 8x = (1 * -3 + 7n * -3) -14 + 8x = (-3 + -21n) Solving -14 + 8x = -3 + -21n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8x = -3 + 14 + -21n Combine like terms: -14 + 14 = 0 0 + 8x = -3 + 14 + -21n 8x = -3 + 14 + -21n Combine like terms: -3 + 14 = 11 8x = 11 + -21n Divide each side by '8'. x = 1.375 + -2.625n Simplifying x = 1.375 + -2.625n
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