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Simplifying -4(2x + 8) = 2(k + 9) Reorder the terms: -4(8 + 2x) = 2(k + 9) (8 * -4 + 2x * -4) = 2(k + 9) (-32 + -8x) = 2(k + 9) Reorder the terms: -32 + -8x = 2(9 + k) -32 + -8x = (9 * 2 + k * 2) -32 + -8x = (18 + 2k) Solving -32 + -8x = 18 + 2k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -8x = 18 + 32 + 2k Combine like terms: -32 + 32 = 0 0 + -8x = 18 + 32 + 2k -8x = 18 + 32 + 2k Combine like terms: 18 + 32 = 50 -8x = 50 + 2k Divide each side by '-8'. x = -6.25 + -0.25k Simplifying x = -6.25 + -0.25k
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