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Simplifying 7(b + x) = 4b + ax (b * 7 + x * 7) = 4b + ax (7b + 7x) = 4b + ax Reorder the terms: 7b + 7x = ax + 4b Solving 7b + 7x = ax + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 7b + -4b + 7x = ax + 4b + -4b Combine like terms: 7b + -4b = 3b 3b + 7x = ax + 4b + -4b Combine like terms: 4b + -4b = 0 3b + 7x = ax + 0 3b + 7x = ax Add '-7x' to each side of the equation. 3b + 7x + -7x = ax + -7x Combine like terms: 7x + -7x = 0 3b + 0 = ax + -7x 3b = ax + -7x Divide each side by '3'. b = 0.3333333333ax + -2.333333333x Simplifying b = 0.3333333333ax + -2.333333333x
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