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Simplifying x + 3a = 17 + ax + -4a Reorder the terms: 3a + x = 17 + ax + -4a Reorder the terms: 3a + x = 17 + -4a + ax Solving 3a + x = 17 + -4a + ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 3a + 4a + x = 17 + -4a + 4a + ax Combine like terms: 3a + 4a = 7a 7a + x = 17 + -4a + 4a + ax Combine like terms: -4a + 4a = 0 7a + x = 17 + 0 + ax 7a + x = 17 + ax Add '-1ax' to each side of the equation. 7a + -1ax + x = 17 + ax + -1ax Combine like terms: ax + -1ax = 0 7a + -1ax + x = 17 + 0 7a + -1ax + x = 17 Add '-1x' to each side of the equation. 7a + -1ax + x + -1x = 17 + -1x Combine like terms: x + -1x = 0 7a + -1ax + 0 = 17 + -1x 7a + -1ax = 17 + -1x Reorder the terms: -17 + 7a + -1ax + x = 17 + -1x + -17 + x Reorder the terms: -17 + 7a + -1ax + x = 17 + -17 + -1x + x Combine like terms: 17 + -17 = 0 -17 + 7a + -1ax + x = 0 + -1x + x -17 + 7a + -1ax + x = -1x + x Combine like terms: -1x + x = 0 -17 + 7a + -1ax + x = 0 The solution to this equation could not be determined.
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