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Simplifying ax + b + -1cx + d = 0 Solving ax + b + -1cx + d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. ax + b + -1cx + -1b + d = 0 + -1b Reorder the terms: ax + b + -1b + -1cx + d = 0 + -1b Combine like terms: b + -1b = 0 ax + 0 + -1cx + d = 0 + -1b ax + -1cx + d = 0 + -1b Remove the zero: ax + -1cx + d = -1b Add 'cx' to each side of the equation. ax + -1cx + cx + d = -1b + cx Combine like terms: -1cx + cx = 0 ax + 0 + d = -1b + cx ax + d = -1b + cx Add '-1d' to each side of the equation. ax + d + -1d = -1b + cx + -1d Combine like terms: d + -1d = 0 ax + 0 = -1b + cx + -1d ax = -1b + cx + -1d Divide each side by 'x'. a = -1bx-1 + c + -1dx-1 Simplifying a = -1bx-1 + c + -1dx-1
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