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Simplifying 2x + -1(a + b) = x + (a + b) 2x + (a * -1 + b * -1) = x + (a + b) 2x + (-1a + -1b) = x + (a + b) Reorder the terms: -1a + -1b + 2x = x + (a + b) Remove parenthesis around (a + b) -1a + -1b + 2x = x + a + b Reorder the terms: -1a + -1b + 2x = a + b + x Solving -1a + -1b + 2x = a + b + x 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 + -1b + -1a + 2x = a + b + -1a + x Reorder the terms: -1a + -1a + -1b + 2x = a + b + -1a + x Combine like terms: -1a + -1a = -2a -2a + -1b + 2x = a + b + -1a + x Reorder the terms: -2a + -1b + 2x = a + -1a + b + x Combine like terms: a + -1a = 0 -2a + -1b + 2x = 0 + b + x -2a + -1b + 2x = b + x Add 'b' to each side of the equation. -2a + -1b + b + 2x = b + b + x Combine like terms: -1b + b = 0 -2a + 0 + 2x = b + b + x -2a + 2x = b + b + x Combine like terms: b + b = 2b -2a + 2x = 2b + x Add '-2x' to each side of the equation. -2a + 2x + -2x = 2b + x + -2x Combine like terms: 2x + -2x = 0 -2a + 0 = 2b + x + -2x -2a = 2b + x + -2x Combine like terms: x + -2x = -1x -2a = 2b + -1x Divide each side by '-2'. a = -1b + 0.5x Simplifying a = -1b + 0.5x
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