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Simplifying Ax + cx = b + d Reorder the terms: cx + xA = b + d Solving cx + xA = b + d Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1xA' to each side of the equation. cx + xA + -1xA = b + d + -1xA Combine like terms: xA + -1xA = 0 cx + 0 = b + d + -1xA cx = b + d + -1xA Divide each side by 'x'. c = bx-1 + dx-1 + -1A Simplifying c = bx-1 + dx-1 + -1A Reorder the terms: c = -1A + bx-1 + dx-1
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