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Simplifying a + x = bc + -1a Reorder the terms: a + x = -1a + bc Solving a + x = -1a + bc Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. a + a + x = -1a + a + bc Combine like terms: a + a = 2a 2a + x = -1a + a + bc Combine like terms: -1a + a = 0 2a + x = 0 + bc 2a + x = bc Add '-1x' to each side of the equation. 2a + x + -1x = bc + -1x Combine like terms: x + -1x = 0 2a + 0 = bc + -1x 2a = bc + -1x Divide each side by '2'. a = 0.5bc + -0.5x Simplifying a = 0.5bc + -0.5x
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