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Simplifying a(2X + -3) + 2(x + -1) = 1 Reorder the terms: a(-3 + 2X) + 2(x + -1) = 1 (-3 * a + 2X * a) + 2(x + -1) = 1 (-3a + 2aX) + 2(x + -1) = 1 Reorder the terms: -3a + 2aX + 2(-1 + x) = 1 -3a + 2aX + (-1 * 2 + x * 2) = 1 -3a + 2aX + (-2 + 2x) = 1 Reorder the terms: -2 + -3a + 2aX + 2x = 1 Solving -2 + -3a + 2aX + 2x = 1 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 + -3a + 2aX + 2 + 2x = 1 + 2 Reorder the terms: -2 + 2 + -3a + 2aX + 2x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -3a + 2aX + 2x = 1 + 2 -3a + 2aX + 2x = 1 + 2 Combine like terms: 1 + 2 = 3 -3a + 2aX + 2x = 3 Add '-2x' to each side of the equation. -3a + 2aX + 2x + -2x = 3 + -2x Combine like terms: 2x + -2x = 0 -3a + 2aX + 0 = 3 + -2x -3a + 2aX = 3 + -2x Reorder the terms: -3 + -3a + 2aX + 2x = 3 + -2x + -3 + 2x Reorder the terms: -3 + -3a + 2aX + 2x = 3 + -3 + -2x + 2x Combine like terms: 3 + -3 = 0 -3 + -3a + 2aX + 2x = 0 + -2x + 2x -3 + -3a + 2aX + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -3 + -3a + 2aX + 2x = 0 The solution to this equation could not be determined.
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