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Simplifying 5(b + x) = -3(b + -1x) (b * 5 + x * 5) = -3(b + -1x) (5b + 5x) = -3(b + -1x) 5b + 5x = (b * -3 + -1x * -3) 5b + 5x = (-3b + 3x) Solving 5b + 5x = -3b + 3x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 5b + 3b + 5x = -3b + 3b + 3x Combine like terms: 5b + 3b = 8b 8b + 5x = -3b + 3b + 3x Combine like terms: -3b + 3b = 0 8b + 5x = 0 + 3x 8b + 5x = 3x Add '-5x' to each side of the equation. 8b + 5x + -5x = 3x + -5x Combine like terms: 5x + -5x = 0 8b + 0 = 3x + -5x 8b = 3x + -5x Combine like terms: 3x + -5x = -2x 8b = -2x Divide each side by '8'. b = -0.25x Simplifying b = -0.25x
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