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Simplifying 8(12 + -1x) = 3(k + 21) (12 * 8 + -1x * 8) = 3(k + 21) (96 + -8x) = 3(k + 21) Reorder the terms: 96 + -8x = 3(21 + k) 96 + -8x = (21 * 3 + k * 3) 96 + -8x = (63 + 3k) Solving 96 + -8x = 63 + 3k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -8x = 63 + -96 + 3k Combine like terms: 96 + -96 = 0 0 + -8x = 63 + -96 + 3k -8x = 63 + -96 + 3k Combine like terms: 63 + -96 = -33 -8x = -33 + 3k Divide each side by '-8'. x = 4.125 + -0.375k Simplifying x = 4.125 + -0.375k
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