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Simplifying x(a + -1x + b) = 2b(x + -1b) Reorder the terms: x(a + b + -1x) = 2b(x + -1b) (a * x + b * x + -1x * x) = 2b(x + -1b) (ax + bx + -1x2) = 2b(x + -1b) Reorder the terms: ax + bx + -1x2 = 2b(-1b + x) ax + bx + -1x2 = (-1b * 2b + x * 2b) Reorder the terms: ax + bx + -1x2 = (2bx + -2b2) ax + bx + -1x2 = (2bx + -2b2) Solving ax + bx + -1x2 = 2bx + -2b2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bx' to each side of the equation. ax + bx + -1bx + -1x2 = 2bx + -1bx + -2b2 Combine like terms: bx + -1bx = 0 ax + 0 + -1x2 = 2bx + -1bx + -2b2 ax + -1x2 = 2bx + -1bx + -2b2 Combine like terms: 2bx + -1bx = 1bx ax + -1x2 = 1bx + -2b2 Add 'x2' to each side of the equation. ax + -1x2 + x2 = 1bx + -2b2 + x2 Combine like terms: -1x2 + x2 = 0 ax + 0 = 1bx + -2b2 + x2 ax = 1bx + -2b2 + x2 Divide each side by 'x'. a = b + -2b2x-1 + x Simplifying a = b + -2b2x-1 + x
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