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Simplifying 3X + 2 + -1(4X + -1A + -9X) = 6X + -1 Reorder the terms: 3X + 2 + -1(-1A + 4X + -9X) = 6X + -1 Combine like terms: 4X + -9X = -5X 3X + 2 + -1(-1A + -5X) = 6X + -1 3X + 2 + (-1A * -1 + -5X * -1) = 6X + -1 3X + 2 + (1A + 5X) = 6X + -1 Reorder the terms: 2 + 1A + 3X + 5X = 6X + -1 Combine like terms: 3X + 5X = 8X 2 + 1A + 8X = 6X + -1 Reorder the terms: 2 + 1A + 8X = -1 + 6X Solving 2 + 1A + 8X = -1 + 6X Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 1A + -2 + 8X = -1 + -2 + 6X Reorder the terms: 2 + -2 + 1A + 8X = -1 + -2 + 6X Combine like terms: 2 + -2 = 0 0 + 1A + 8X = -1 + -2 + 6X 1A + 8X = -1 + -2 + 6X Combine like terms: -1 + -2 = -3 1A + 8X = -3 + 6X Add '-8X' to each side of the equation. 1A + 8X + -8X = -3 + 6X + -8X Combine like terms: 8X + -8X = 0 1A + 0 = -3 + 6X + -8X 1A = -3 + 6X + -8X Combine like terms: 6X + -8X = -2X 1A = -3 + -2X Divide each side by '1'. A = -3 + -2X Simplifying A = -3 + -2X
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