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Simplifying dx + b = 9(x + -1d) Reorder the terms: b + dx = 9(x + -1d) Reorder the terms: b + dx = 9(-1d + x) b + dx = (-1d * 9 + x * 9) b + dx = (-9d + 9x) Solving b + dx = -9d + 9x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1dx' to each side of the equation. b + dx + -1dx = -9d + -1dx + 9x Combine like terms: dx + -1dx = 0 b + 0 = -9d + -1dx + 9x b = -9d + -1dx + 9x Simplifying b = -9d + -1dx + 9x
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