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Simplifying ax + by + c = 2x Solving ax + by + c = 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1by' to each side of the equation. ax + by + -1by + c = -1by + 2x Combine like terms: by + -1by = 0 ax + 0 + c = -1by + 2x ax + c = -1by + 2x Add '-1c' to each side of the equation. ax + c + -1c = -1by + -1c + 2x Combine like terms: c + -1c = 0 ax + 0 = -1by + -1c + 2x ax = -1by + -1c + 2x Divide each side by 'x'. a = -1bx-1y + -1cx-1 + 2 Simplifying a = -1bx-1y + -1cx-1 + 2 Reorder the terms: a = 2 + -1bx-1y + -1cx-1
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