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Simplifying AX + -1C + D + BX = 0 Reorder the terms: AX + BX + -1C + D = 0 Solving AX + BX + -1C + D = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-1BX' to each side of the equation. AX + BX + -1C + -1BX + D = 0 + -1BX Reorder the terms: AX + BX + -1BX + -1C + D = 0 + -1BX Combine like terms: BX + -1BX = 0 AX + 0 + -1C + D = 0 + -1BX AX + -1C + D = 0 + -1BX Remove the zero: AX + -1C + D = -1BX Add 'C' to each side of the equation. AX + -1C + C + D = -1BX + C Combine like terms: -1C + C = 0 AX + 0 + D = -1BX + C AX + D = -1BX + C Add '-1D' to each side of the equation. AX + D + -1D = -1BX + C + -1D Combine like terms: D + -1D = 0 AX + 0 = -1BX + C + -1D AX = -1BX + C + -1D Divide each side by 'X'. A = -1B + CX-1 + -1DX-1 Simplifying A = -1B + CX-1 + -1DX-1
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