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Simplifying 0 = 5x + 10x(b + c) 0 = 5x + (b * 10x + c * 10x) 0 = 5x + (10bx + 10cx) Reorder the terms: 0 = 10bx + 10cx + 5x Solving 0 = 10bx + 10cx + 5x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10bx' to each side of the equation. 0 + -10bx = 10bx + 10cx + -10bx + 5x Remove the zero: -10bx = 10bx + 10cx + -10bx + 5x Reorder the terms: -10bx = 10bx + -10bx + 10cx + 5x Combine like terms: 10bx + -10bx = 0 -10bx = 0 + 10cx + 5x -10bx = 10cx + 5x Divide each side by '-10x'. b = -1c + -0.5 Simplifying b = -1c + -0.5 Reorder the terms: b = -0.5 + -1c
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