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