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Simplifying a(2x + -5) + 6 = 5x + 7 Reorder the terms: a(-5 + 2x) + 6 = 5x + 7 (-5 * a + 2x * a) + 6 = 5x + 7 (-5a + 2ax) + 6 = 5x + 7 Reorder the terms: 6 + -5a + 2ax = 5x + 7 Reorder the terms: 6 + -5a + 2ax = 7 + 5x Solving 6 + -5a + 2ax = 7 + 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -5a + -6 + 2ax = 7 + -6 + 5x Reorder the terms: 6 + -6 + -5a + 2ax = 7 + -6 + 5x Combine like terms: 6 + -6 = 0 0 + -5a + 2ax = 7 + -6 + 5x -5a + 2ax = 7 + -6 + 5x Combine like terms: 7 + -6 = 1 -5a + 2ax = 1 + 5x Reorder the terms: -1 + -5a + 2ax + -5x = 1 + 5x + -1 + -5x Reorder the terms: -1 + -5a + 2ax + -5x = 1 + -1 + 5x + -5x Combine like terms: 1 + -1 = 0 -1 + -5a + 2ax + -5x = 0 + 5x + -5x -1 + -5a + 2ax + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -5a + 2ax + -5x = 0 The solution to this equation could not be determined.
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