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Simplifying x + 5a = 31 + ax + -5a Reorder the terms: 5a + x = 31 + ax + -5a Reorder the terms: 5a + x = 31 + -5a + ax Solving 5a + x = 31 + -5a + ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 5a + 5a + x = 31 + -5a + 5a + ax Combine like terms: 5a + 5a = 10a 10a + x = 31 + -5a + 5a + ax Combine like terms: -5a + 5a = 0 10a + x = 31 + 0 + ax 10a + x = 31 + ax Add '-1ax' to each side of the equation. 10a + -1ax + x = 31 + ax + -1ax Combine like terms: ax + -1ax = 0 10a + -1ax + x = 31 + 0 10a + -1ax + x = 31 Add '-1x' to each side of the equation. 10a + -1ax + x + -1x = 31 + -1x Combine like terms: x + -1x = 0 10a + -1ax + 0 = 31 + -1x 10a + -1ax = 31 + -1x Reorder the terms: -31 + 10a + -1ax + x = 31 + -1x + -31 + x Reorder the terms: -31 + 10a + -1ax + x = 31 + -31 + -1x + x Combine like terms: 31 + -31 = 0 -31 + 10a + -1ax + x = 0 + -1x + x -31 + 10a + -1ax + x = -1x + x Combine like terms: -1x + x = 0 -31 + 10a + -1ax + x = 0 The solution to this equation could not be determined.
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