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Simplifying 5x(a + b) = 0 (a * 5x + b * 5x) = 0 (5ax + 5bx) = 0 Solving 5ax + 5bx = 0 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. 5ax + 5bx + -5bx = 0 + -5bx Combine like terms: 5bx + -5bx = 0 5ax + 0 = 0 + -5bx 5ax = 0 + -5bx Remove the zero: 5ax = -5bx Divide each side by '5x'. a = -1b Simplifying a = -1b
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