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Simplifying 8(4 + -2x) = 12 + -20x + 4k (4 * 8 + -2x * 8) = 12 + -20x + 4k (32 + -16x) = 12 + -20x + 4k Reorder the terms: 32 + -16x = 12 + 4k + -20x Solving 32 + -16x = 12 + 4k + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 32 + -16x + 20x = 12 + 4k + -20x + 20x Combine like terms: -16x + 20x = 4x 32 + 4x = 12 + 4k + -20x + 20x Combine like terms: -20x + 20x = 0 32 + 4x = 12 + 4k + 0 32 + 4x = 12 + 4k Add '-32' to each side of the equation. 32 + -32 + 4x = 12 + -32 + 4k Combine like terms: 32 + -32 = 0 0 + 4x = 12 + -32 + 4k 4x = 12 + -32 + 4k Combine like terms: 12 + -32 = -20 4x = -20 + 4k Divide each side by '4'. x = -5 + k Simplifying x = -5 + k
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