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Simplifying x(a + -9b) = 5m(x + -1c) (a * x + -9b * x) = 5m(x + -1c) (ax + -9bx) = 5m(x + -1c) Reorder the terms: ax + -9bx = 5m(-1c + x) ax + -9bx = (-1c * 5m + x * 5m) ax + -9bx = (-5cm + 5mx) Solving ax + -9bx = -5cm + 5mx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9bx' to each side of the equation. ax + -9bx + 9bx = -5cm + 9bx + 5mx Combine like terms: -9bx + 9bx = 0 ax + 0 = -5cm + 9bx + 5mx ax = -5cm + 9bx + 5mx Reorder the terms: ax = 9bx + -5cm + 5mx Divide each side by 'x'. a = 9b + -5cmx-1 + 5m Simplifying a = 9b + -5cmx-1 + 5m
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