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Simplifying x + -1a + b = a + -1b + x Reorder the terms: -1a + b + x = a + -1b + x Add '-1x' to each side of the equation. -1a + b + x + -1x = a + -1b + x + -1x Combine like terms: x + -1x = 0 -1a + b + 0 = a + -1b + x + -1x -1a + b = a + -1b + x + -1x Combine like terms: x + -1x = 0 -1a + b = a + -1b + 0 -1a + b = a + -1b Solving -1a + b = a + -1b 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 + -1a + b = a + -1a + -1b Combine like terms: -1a + -1a = -2a -2a + b = a + -1a + -1b Combine like terms: a + -1a = 0 -2a + b = 0 + -1b -2a + b = -1b Add '-1b' to each side of the equation. -2a + b + -1b = -1b + -1b Combine like terms: b + -1b = 0 -2a + 0 = -1b + -1b -2a = -1b + -1b Combine like terms: -1b + -1b = -2b -2a = -2b Divide each side by '-2'. a = b Simplifying a = b
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