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Simplifying ax + b = nx + dx Reorder the terms: ax + b = dx + nx Solving ax + b = dx + nx 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 + -1b = dx + -1b + nx Combine like terms: b + -1b = 0 ax + 0 = dx + -1b + nx ax = dx + -1b + nx Reorder the terms: ax = -1b + dx + nx Divide each side by 'x'. a = -1bx-1 + d + n Simplifying a = -1bx-1 + d + n
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