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Simplifying AX + D + C + -1BX = 0 Reorder the terms: AX + -1BX + C + D = 0 Solving AX + -1BX + C + D = 0 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 + C + BX + D = 0 + BX Reorder the terms: AX + -1BX + BX + C + D = 0 + BX Combine like terms: -1BX + BX = 0 AX + 0 + C + D = 0 + BX AX + C + D = 0 + BX Remove the zero: AX + C + D = BX Add '-1C' to each side of the equation. AX + C + -1C + D = BX + -1C Combine like terms: C + -1C = 0 AX + 0 + D = BX + -1C AX + D = BX + -1C Add '-1D' to each side of the equation. AX + D + -1D = BX + -1C + -1D Combine like terms: D + -1D = 0 AX + 0 = BX + -1C + -1D AX = BX + -1C + -1D Divide each side by 'X'. A = B + -1CX-1 + -1DX-1 Simplifying A = B + -1CX-1 + -1DX-1
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