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