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Simplifying 7(b + -1x) = 3b + ax (b * 7 + -1x * 7) = 3b + ax (7b + -7x) = 3b + ax Reorder the terms: 7b + -7x = ax + 3b Solving 7b + -7x = ax + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 7b + -3b + -7x = ax + 3b + -3b Combine like terms: 7b + -3b = 4b 4b + -7x = ax + 3b + -3b Combine like terms: 3b + -3b = 0 4b + -7x = ax + 0 4b + -7x = ax Add '7x' to each side of the equation. 4b + -7x + 7x = ax + 7x Combine like terms: -7x + 7x = 0 4b + 0 = ax + 7x 4b = ax + 7x Divide each side by '4'. b = 0.25ax + 1.75x Simplifying b = 0.25ax + 1.75x
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