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Simplifying A(x + -1b) = C(c + d) Reorder the terms: A(-1b + x) = C(c + d) (-1b * A + x * A) = C(c + d) (-1bA + xA) = C(c + d) -1bA + xA = (c * C + d * C) -1bA + xA = (cC + dC) Solving -1bA + xA = cC + dC Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1xA' to each side of the equation. -1bA + xA + -1xA = cC + dC + -1xA Combine like terms: xA + -1xA = 0 -1bA + 0 = cC + dC + -1xA -1bA = cC + dC + -1xA Divide each side by '-1A'. b = -1cA-1C + -1dA-1C + x Simplifying b = -1cA-1C + -1dA-1C + x
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