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Simplifying 7 + -3a = 3(ax + 3a + -2x) Reorder the terms: 7 + -3a = 3(3a + ax + -2x) 7 + -3a = (3a * 3 + ax * 3 + -2x * 3) 7 + -3a = (9a + 3ax + -6x) Solving 7 + -3a = 9a + 3ax + -6x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 7 + -3a + -9a = 9a + 3ax + -9a + -6x Combine like terms: -3a + -9a = -12a 7 + -12a = 9a + 3ax + -9a + -6x Reorder the terms: 7 + -12a = 9a + -9a + 3ax + -6x Combine like terms: 9a + -9a = 0 7 + -12a = 0 + 3ax + -6x 7 + -12a = 3ax + -6x Add '-3ax' to each side of the equation. 7 + -12a + -3ax = 3ax + -3ax + -6x Combine like terms: 3ax + -3ax = 0 7 + -12a + -3ax = 0 + -6x 7 + -12a + -3ax = -6x Add '-7' to each side of the equation. 7 + -12a + -7 + -3ax = -7 + -6x Reorder the terms: 7 + -7 + -12a + -3ax = -7 + -6x Combine like terms: 7 + -7 = 0 0 + -12a + -3ax = -7 + -6x -12a + -3ax = -7 + -6x Reorder the terms: 7 + -12a + -3ax + 6x = -7 + -6x + 7 + 6x Reorder the terms: 7 + -12a + -3ax + 6x = -7 + 7 + -6x + 6x Combine like terms: -7 + 7 = 0 7 + -12a + -3ax + 6x = 0 + -6x + 6x 7 + -12a + -3ax + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 7 + -12a + -3ax + 6x = 0 The solution to this equation could not be determined.
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