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Simplifying b + (5x + -4) = 10 + -1(2 + -3x) Reorder the terms: b + (-4 + 5x) = 10 + -1(2 + -3x) Remove parenthesis around (-4 + 5x) b + -4 + 5x = 10 + -1(2 + -3x) Reorder the terms: -4 + b + 5x = 10 + -1(2 + -3x) -4 + b + 5x = 10 + (2 * -1 + -3x * -1) -4 + b + 5x = 10 + (-2 + 3x) Combine like terms: 10 + -2 = 8 -4 + b + 5x = 8 + 3x Solving -4 + b + 5x = 8 + 3x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + b + 4 + 5x = 8 + 4 + 3x Reorder the terms: -4 + 4 + b + 5x = 8 + 4 + 3x Combine like terms: -4 + 4 = 0 0 + b + 5x = 8 + 4 + 3x b + 5x = 8 + 4 + 3x Combine like terms: 8 + 4 = 12 b + 5x = 12 + 3x Add '-5x' to each side of the equation. b + 5x + -5x = 12 + 3x + -5x Combine like terms: 5x + -5x = 0 b + 0 = 12 + 3x + -5x b = 12 + 3x + -5x Combine like terms: 3x + -5x = -2x b = 12 + -2x Simplifying b = 12 + -2x
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