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Simplifying (20x2) + (6x * a) + (6x * b) + (6x * c) = 50 Multiply x * a (20x2) + (6ax) + (6x * b) + (6x * c) = 50 Multiply x * b (20x2) + (6ax) + (6bx) + (6x * c) = 50 Multiply x * c (20x2) + (6ax) + (6bx) + (6cx) = 50 Reorder the terms: (6ax) + (6bx) + (6cx) + (20x2) = 50 Solving (6ax) + (6bx) + (6cx) + (20x2) = 50 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '(-6bx)' to each side of the equation. (6ax) + (6bx) + (6cx) + (-6bx) + (20x2) = 50 + (-6bx) Reorder the terms: (6ax) + (6bx) + (-6bx) + (6cx) + (20x2) = 50 + (-6bx) Combine like terms: (6bx) + (-6bx) = 0 (6ax) + 0 + (6cx) + (20x2) = 50 + (-6bx) (6ax) + (6cx) + (20x2) = 50 + (-6bx) Add '(-6cx)' to each side of the equation. (6ax) + (6cx) + (-6cx) + (20x2) = 50 + (-6bx) + (-6cx) Combine like terms: (6cx) + (-6cx) = 0 (6ax) + 0 + (20x2) = 50 + (-6bx) + (-6cx) (6ax) + (20x2) = 50 + (-6bx) + (-6cx) Add '(-20x2)' to each side of the equation. (6ax) + (20x2) + (-20x2) = 50 + (-6bx) + (-6cx) + (-20x2) Combine like terms: (20x2) + (-20x2) = 0 (6ax) + 0 = 50 + (-6bx) + (-6cx) + (-20x2) (6ax) = 50 + (-6bx) + (-6cx) + (-20x2) Divide each side by '(6x)'. a = 8.333333333x-1 + (-1b) + (-1c) + (-3.333333333x) Simplifying a = 8.333333333x-1 + (-1b) + (-1c) + (-3.333333333x) Reorder the terms: a = (-1b) + (-1c) + 8.333333333x-1 + (-3.333333333x)
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