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