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Simplifying 6(b + -1x) = 2b + ax (b * 6 + -1x * 6) = 2b + ax (6b + -6x) = 2b + ax Reorder the terms: 6b + -6x = ax + 2b Solving 6b + -6x = ax + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 6b + -2b + -6x = ax + 2b + -2b Combine like terms: 6b + -2b = 4b 4b + -6x = ax + 2b + -2b Combine like terms: 2b + -2b = 0 4b + -6x = ax + 0 4b + -6x = ax Add '6x' to each side of the equation. 4b + -6x + 6x = ax + 6x Combine like terms: -6x + 6x = 0 4b + 0 = ax + 6x 4b = ax + 6x Divide each side by '4'. b = 0.25ax + 1.5x Simplifying b = 0.25ax + 1.5x
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