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Simplifying 2kx + x = 2a + b Solving 2kx + x = 2a + b Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1x' to each side of the equation. 2kx + x + -1x = 2a + b + -1x Combine like terms: x + -1x = 0 2kx + 0 = 2a + b + -1x 2kx = 2a + b + -1x Divide each side by '2x'. k = ax-1 + 0.5bx-1 + -0.5 Simplifying k = ax-1 + 0.5bx-1 + -0.5 Reorder the terms: k = -0.5 + ax-1 + 0.5bx-1
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