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Simplifying dx + b = 8(x + -1d) Reorder the terms: b + dx = 8(x + -1d) Reorder the terms: b + dx = 8(-1d + x) b + dx = (-1d * 8 + x * 8) b + dx = (-8d + 8x) Solving b + dx = -8d + 8x 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 = -8d + -1dx + 8x Combine like terms: dx + -1dx = 0 b + 0 = -8d + -1dx + 8x b = -8d + -1dx + 8x Simplifying b = -8d + -1dx + 8x
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