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Simplifying x(a + -1b) + -4(a + -1b) = 0 (a * x + -1b * x) + -4(a + -1b) = 0 (ax + -1bx) + -4(a + -1b) = 0 ax + -1bx + (a * -4 + -1b * -4) = 0 ax + -1bx + (-4a + 4b) = 0 Reorder the terms: -4a + ax + 4b + -1bx = 0 Solving -4a + ax + 4b + -1bx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. -4a + ax + 4b + -4b + -1bx = 0 + -4b Combine like terms: 4b + -4b = 0 -4a + ax + 0 + -1bx = 0 + -4b -4a + ax + -1bx = 0 + -4b Remove the zero: -4a + ax + -1bx = -4b Add 'bx' to each side of the equation. -4a + ax + -1bx + bx = -4b + bx Combine like terms: -1bx + bx = 0 -4a + ax + 0 = -4b + bx -4a + ax = -4b + bx Reorder the terms: -4a + ax + 4b + -1bx = -4b + 4b + bx + -1bx Combine like terms: -4b + 4b = 0 -4a + ax + 4b + -1bx = 0 + bx + -1bx -4a + ax + 4b + -1bx = bx + -1bx Combine like terms: bx + -1bx = 0 -4a + ax + 4b + -1bx = 0 The solution to this equation could not be determined.
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