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Simplifying ax + -1bx + c = d Solving ax + -1bx + c = d 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 + bx + c = bx + d Combine like terms: -1bx + bx = 0 ax + 0 + c = bx + d ax + c = bx + d Add '-1c' to each side of the equation. ax + c + -1c = bx + -1c + d Combine like terms: c + -1c = 0 ax + 0 = bx + -1c + d ax = bx + -1c + d Divide each side by 'x'. a = b + -1cx-1 + dx-1 Simplifying a = b + -1cx-1 + dx-1
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