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