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Simplifying 2(4x + -3) + -8 = 6(1 + 3k) Reorder the terms: 2(-3 + 4x) + -8 = 6(1 + 3k) (-3 * 2 + 4x * 2) + -8 = 6(1 + 3k) (-6 + 8x) + -8 = 6(1 + 3k) Reorder the terms: -6 + -8 + 8x = 6(1 + 3k) Combine like terms: -6 + -8 = -14 -14 + 8x = 6(1 + 3k) -14 + 8x = (1 * 6 + 3k * 6) -14 + 8x = (6 + 18k) Solving -14 + 8x = 6 + 18k 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 = 6 + 14 + 18k Combine like terms: -14 + 14 = 0 0 + 8x = 6 + 14 + 18k 8x = 6 + 14 + 18k Combine like terms: 6 + 14 = 20 8x = 20 + 18k Divide each side by '8'. x = 2.5 + 2.25k Simplifying x = 2.5 + 2.25k
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