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