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Simplifying 3x + 2a = 27 + ax + -7a Reorder the terms: 2a + 3x = 27 + ax + -7a Reorder the terms: 2a + 3x = 27 + -7a + ax Solving 2a + 3x = 27 + -7a + ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 2a + 7a + 3x = 27 + -7a + 7a + ax Combine like terms: 2a + 7a = 9a 9a + 3x = 27 + -7a + 7a + ax Combine like terms: -7a + 7a = 0 9a + 3x = 27 + 0 + ax 9a + 3x = 27 + ax Add '-1ax' to each side of the equation. 9a + -1ax + 3x = 27 + ax + -1ax Combine like terms: ax + -1ax = 0 9a + -1ax + 3x = 27 + 0 9a + -1ax + 3x = 27 Add '-3x' to each side of the equation. 9a + -1ax + 3x + -3x = 27 + -3x Combine like terms: 3x + -3x = 0 9a + -1ax + 0 = 27 + -3x 9a + -1ax = 27 + -3x Reorder the terms: -27 + 9a + -1ax + 3x = 27 + -3x + -27 + 3x Reorder the terms: -27 + 9a + -1ax + 3x = 27 + -27 + -3x + 3x Combine like terms: 27 + -27 = 0 -27 + 9a + -1ax + 3x = 0 + -3x + 3x -27 + 9a + -1ax + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -27 + 9a + -1ax + 3x = 0 The solution to this equation could not be determined.
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