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Simplifying x(a + -5) = 5(b + -9) * forb Reorder the terms: x(-5 + a) = 5(b + -9) * forb (-5 * x + a * x) = 5(b + -9) * forb Reorder the terms: (ax + -5x) = 5(b + -9) * forb (ax + -5x) = 5(b + -9) * forb Reorder the terms: ax + -5x = 5(-9 + b) * forb Reorder the terms for easier multiplication: ax + -5x = 5bfor(-9 + b) ax + -5x = (-9 * 5bfor + b * 5bfor) ax + -5x = (-45bfor + 5b2for) Solving ax + -5x = -45bfor + 5b2for Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5x' to each side of the equation. ax + -5x + 5x = -45bfor + 5b2for + 5x Combine like terms: -5x + 5x = 0 ax + 0 = -45bfor + 5b2for + 5x ax = -45bfor + 5b2for + 5x Divide each side by 'x'. a = -45bforx-1 + 5b2forx-1 + 5 Simplifying a = -45bforx-1 + 5b2forx-1 + 5 Reorder the terms: a = 5 + -45bforx-1 + 5b2forx-1
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