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Simplifying 2(2x + -1) = 4(k + -2) Reorder the terms: 2(-1 + 2x) = 4(k + -2) (-1 * 2 + 2x * 2) = 4(k + -2) (-2 + 4x) = 4(k + -2) Reorder the terms: -2 + 4x = 4(-2 + k) -2 + 4x = (-2 * 4 + k * 4) -2 + 4x = (-8 + 4k) Solving -2 + 4x = -8 + 4k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4x = -8 + 2 + 4k Combine like terms: -2 + 2 = 0 0 + 4x = -8 + 2 + 4k 4x = -8 + 2 + 4k Combine like terms: -8 + 2 = -6 4x = -6 + 4k Divide each side by '4'. x = -1.5 + k Simplifying x = -1.5 + k
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