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