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Simplifying 2(x + b) = 3x + 12 Reorder the terms: 2(b + x) = 3x + 12 (b * 2 + x * 2) = 3x + 12 (2b + 2x) = 3x + 12 Reorder the terms: 2b + 2x = 12 + 3x Solving 2b + 2x = 12 + 3x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2x' to each side of the equation. 2b + 2x + -2x = 12 + 3x + -2x Combine like terms: 2x + -2x = 0 2b + 0 = 12 + 3x + -2x 2b = 12 + 3x + -2x Combine like terms: 3x + -2x = 1x 2b = 12 + 1x Divide each side by '2'. b = 6 + 0.5x Simplifying b = 6 + 0.5x
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