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Simplifying x + -1(c + a) = bg Reorder the terms: x + -1(a + c) = bg x + (a * -1 + c * -1) = bg x + (-1a + -1c) = bg Reorder the terms: -1a + -1c + x = bg Solving -1a + -1c + x = bg Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'c' to each side of the equation. -1a + -1c + c + x = bg + c Combine like terms: -1c + c = 0 -1a + 0 + x = bg + c -1a + x = bg + c Add '-1x' to each side of the equation. -1a + x + -1x = bg + c + -1x Combine like terms: x + -1x = 0 -1a + 0 = bg + c + -1x -1a = bg + c + -1x Divide each side by '-1'. a = -1bg + -1c + x Simplifying a = -1bg + -1c + x
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