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Simplifying 6x + 9 = a(2x + 3) Reorder the terms: 9 + 6x = a(2x + 3) Reorder the terms: 9 + 6x = a(3 + 2x) 9 + 6x = (3 * a + 2x * a) 9 + 6x = (3a + 2ax) Solving 9 + 6x = 3a + 2ax Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2ax' to each side of the equation. 9 + -2ax + 6x = 3a + 2ax + -2ax Combine like terms: 2ax + -2ax = 0 9 + -2ax + 6x = 3a + 0 9 + -2ax + 6x = 3a Add '-9' to each side of the equation. 9 + -2ax + -9 + 6x = -9 + 3a Reorder the terms: 9 + -9 + -2ax + 6x = -9 + 3a Combine like terms: 9 + -9 = 0 0 + -2ax + 6x = -9 + 3a -2ax + 6x = -9 + 3a Reorder the terms: 9 + -3a + -2ax + 6x = -9 + 3a + 9 + -3a Reorder the terms: 9 + -3a + -2ax + 6x = -9 + 9 + 3a + -3a Combine like terms: -9 + 9 = 0 9 + -3a + -2ax + 6x = 0 + 3a + -3a 9 + -3a + -2ax + 6x = 3a + -3a Combine like terms: 3a + -3a = 0 9 + -3a + -2ax + 6x = 0 The solution to this equation could not be determined.
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