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Simplifying x(2a + 3b) + x(a + 3b) = 0 (2a * x + 3b * x) + x(a + 3b) = 0 (2ax + 3bx) + x(a + 3b) = 0 2ax + 3bx + (a * x + 3b * x) = 0 2ax + 3bx + (ax + 3bx) = 0 Reorder the terms: 2ax + ax + 3bx + 3bx = 0 Combine like terms: 2ax + ax = 3ax 3ax + 3bx + 3bx = 0 Combine like terms: 3bx + 3bx = 6bx 3ax + 6bx = 0 Solving 3ax + 6bx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6bx' to each side of the equation. 3ax + 6bx + -6bx = 0 + -6bx Combine like terms: 6bx + -6bx = 0 3ax + 0 = 0 + -6bx 3ax = 0 + -6bx Remove the zero: 3ax = -6bx Divide each side by '3x'. a = -2b Simplifying a = -2b
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