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