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Simplifying 3x(a + -3b) + 7(a + -3b) = 0 (a * 3x + -3b * 3x) + 7(a + -3b) = 0 (3ax + -9bx) + 7(a + -3b) = 0 3ax + -9bx + (a * 7 + -3b * 7) = 0 3ax + -9bx + (7a + -21b) = 0 Reorder the terms: 7a + 3ax + -21b + -9bx = 0 Solving 7a + 3ax + -21b + -9bx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21b' to each side of the equation. 7a + 3ax + -21b + 21b + -9bx = 0 + 21b Combine like terms: -21b + 21b = 0 7a + 3ax + 0 + -9bx = 0 + 21b 7a + 3ax + -9bx = 0 + 21b Remove the zero: 7a + 3ax + -9bx = 21b Add '9bx' to each side of the equation. 7a + 3ax + -9bx + 9bx = 21b + 9bx Combine like terms: -9bx + 9bx = 0 7a + 3ax + 0 = 21b + 9bx 7a + 3ax = 21b + 9bx Reorder the terms: 7a + 3ax + -21b + -9bx = 21b + -21b + 9bx + -9bx Combine like terms: 21b + -21b = 0 7a + 3ax + -21b + -9bx = 0 + 9bx + -9bx 7a + 3ax + -21b + -9bx = 9bx + -9bx Combine like terms: 9bx + -9bx = 0 7a + 3ax + -21b + -9bx = 0 The solution to this equation could not be determined.
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