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Simplifying 3a + (b + -1x) = (2b + -1(2x + -3a)) Remove parenthesis around (b + -1x) 3a + b + -1x = (2b + -1(2x + -3a)) Reorder the terms: 3a + b + -1x = (2b + -1(-3a + 2x)) 3a + b + -1x = (2b + (-3a * -1 + 2x * -1)) 3a + b + -1x = (2b + (3a + -2x)) Reorder the terms: 3a + b + -1x = (3a + 2b + -2x) Remove parenthesis around (3a + 2b + -2x) 3a + b + -1x = 3a + 2b + -2x Add '-3a' to each side of the equation. 3a + b + -3a + -1x = 3a + 2b + -3a + -2x Reorder the terms: 3a + -3a + b + -1x = 3a + 2b + -3a + -2x Combine like terms: 3a + -3a = 0 0 + b + -1x = 3a + 2b + -3a + -2x b + -1x = 3a + 2b + -3a + -2x Reorder the terms: b + -1x = 3a + -3a + 2b + -2x Combine like terms: 3a + -3a = 0 b + -1x = 0 + 2b + -2x b + -1x = 2b + -2x Solving b + -1x = 2b + -2x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. b + -2b + -1x = 2b + -2b + -2x Combine like terms: b + -2b = -1b -1b + -1x = 2b + -2b + -2x Combine like terms: 2b + -2b = 0 -1b + -1x = 0 + -2x -1b + -1x = -2x Add 'x' to each side of the equation. -1b + -1x + x = -2x + x Combine like terms: -1x + x = 0 -1b + 0 = -2x + x -1b = -2x + x Combine like terms: -2x + x = -1x -1b = -1x Divide each side by '-1'. b = x Simplifying b = x
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