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