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Simplifying (a + -1b) + (a + b) * x = 2a Remove parenthesis around (a + -1b) a + -1b + (a + b) * x = 2a Reorder the terms for easier multiplication: a + -1b + x(a + b) = 2a a + -1b + (a * x + b * x) = 2a a + -1b + (ax + bx) = 2a Reorder the terms: a + ax + -1b + bx = 2a Solving a + ax + -1b + bx = 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. a + ax + -1b + -2a + bx = 2a + -2a Reorder the terms: a + -2a + ax + -1b + bx = 2a + -2a Combine like terms: a + -2a = -1a -1a + ax + -1b + bx = 2a + -2a Combine like terms: 2a + -2a = 0 -1a + ax + -1b + bx = 0 Add 'b' to each side of the equation. -1a + ax + -1b + b + bx = 0 + b Combine like terms: -1b + b = 0 -1a + ax + 0 + bx = 0 + b -1a + ax + bx = 0 + b Remove the zero: -1a + ax + bx = b Add '-1bx' to each side of the equation. -1a + ax + bx + -1bx = b + -1bx Combine like terms: bx + -1bx = 0 -1a + ax + 0 = b + -1bx -1a + ax = b + -1bx Reorder the terms: -1a + ax + -1b + bx = b + -1b + -1bx + bx Combine like terms: b + -1b = 0 -1a + ax + -1b + bx = 0 + -1bx + bx -1a + ax + -1b + bx = -1bx + bx Combine like terms: -1bx + bx = 0 -1a + ax + -1b + bx = 0 The solution to this equation could not be determined.
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