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