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Simplifying Bx + -3b = ax + 7b Reorder the terms: -3b + xB = ax + 7b Solving -3b + xB = ax + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -3b + -7b + xB = ax + 7b + -7b Combine like terms: -3b + -7b = -10b -10b + xB = ax + 7b + -7b Combine like terms: 7b + -7b = 0 -10b + xB = ax + 0 -10b + xB = ax Add '-1xB' to each side of the equation. -10b + xB + -1xB = ax + -1xB Combine like terms: xB + -1xB = 0 -10b + 0 = ax + -1xB -10b = ax + -1xB Divide each side by '-10'. b = -0.1ax + 0.1xB Simplifying b = -0.1ax + 0.1xB
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