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Simplifying x + 2a = 12 + ax + -6a Reorder the terms: 2a + x = 12 + ax + -6a Reorder the terms: 2a + x = 12 + -6a + ax Solving 2a + x = 12 + -6a + ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 2a + 6a + x = 12 + -6a + 6a + ax Combine like terms: 2a + 6a = 8a 8a + x = 12 + -6a + 6a + ax Combine like terms: -6a + 6a = 0 8a + x = 12 + 0 + ax 8a + x = 12 + ax Add '-1ax' to each side of the equation. 8a + -1ax + x = 12 + ax + -1ax Combine like terms: ax + -1ax = 0 8a + -1ax + x = 12 + 0 8a + -1ax + x = 12 Add '-1x' to each side of the equation. 8a + -1ax + x + -1x = 12 + -1x Combine like terms: x + -1x = 0 8a + -1ax + 0 = 12 + -1x 8a + -1ax = 12 + -1x Reorder the terms: -12 + 8a + -1ax + x = 12 + -1x + -12 + x Reorder the terms: -12 + 8a + -1ax + x = 12 + -12 + -1x + x Combine like terms: 12 + -12 = 0 -12 + 8a + -1ax + x = 0 + -1x + x -12 + 8a + -1ax + x = -1x + x Combine like terms: -1x + x = 0 -12 + 8a + -1ax + x = 0 The solution to this equation could not be determined.
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