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Simplifying Ex + ax + -1d = gc Reorder the terms: ax + -1d + xE = gc Solving ax + -1d + xE = cg Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'd' to each side of the equation. ax + -1d + d + xE = cg + d Combine like terms: -1d + d = 0 ax + 0 + xE = cg + d ax + xE = cg + d Add '-1xE' to each side of the equation. ax + xE + -1xE = cg + d + -1xE Combine like terms: xE + -1xE = 0 ax + 0 = cg + d + -1xE ax = cg + d + -1xE Divide each side by 'x'. a = cgx-1 + dx-1 + -1E Simplifying a = cgx-1 + dx-1 + -1E Reorder the terms: a = -1E + cgx-1 + dx-1
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