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Simplifying x + 7a = 35 + ax + -6a Reorder the terms: 7a + x = 35 + ax + -6a Reorder the terms: 7a + x = 35 + -6a + ax Solving 7a + x = 35 + -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. 7a + 6a + x = 35 + -6a + 6a + ax Combine like terms: 7a + 6a = 13a 13a + x = 35 + -6a + 6a + ax Combine like terms: -6a + 6a = 0 13a + x = 35 + 0 + ax 13a + x = 35 + ax Add '-1ax' to each side of the equation. 13a + -1ax + x = 35 + ax + -1ax Combine like terms: ax + -1ax = 0 13a + -1ax + x = 35 + 0 13a + -1ax + x = 35 Add '-1x' to each side of the equation. 13a + -1ax + x + -1x = 35 + -1x Combine like terms: x + -1x = 0 13a + -1ax + 0 = 35 + -1x 13a + -1ax = 35 + -1x Reorder the terms: -35 + 13a + -1ax + x = 35 + -1x + -35 + x Reorder the terms: -35 + 13a + -1ax + x = 35 + -35 + -1x + x Combine like terms: 35 + -35 = 0 -35 + 13a + -1ax + x = 0 + -1x + x -35 + 13a + -1ax + x = -1x + x Combine like terms: -1x + x = 0 -35 + 13a + -1ax + x = 0 The solution to this equation could not be determined.
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