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