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Simplifying X(a + -4b) = 5m(x + -1c) (a * X + -4b * X) = 5m(x + -1c) (aX + -4bX) = 5m(x + -1c) Reorder the terms: aX + -4bX = 5m(-1c + x) aX + -4bX = (-1c * 5m + x * 5m) aX + -4bX = (-5cm + 5mx) Solving aX + -4bX = -5cm + 5mx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4bX' to each side of the equation. aX + -4bX + 4bX = -5cm + 4bX + 5mx Combine like terms: -4bX + 4bX = 0 aX + 0 = -5cm + 4bX + 5mx aX = -5cm + 4bX + 5mx Reorder the terms: aX = 4bX + -5cm + 5mx Divide each side by 'X'. a = 4b + -5cmX-1 + 5mxX-1 Simplifying a = 4b + -5cmX-1 + 5mxX-1
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