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Simplifying 4(x + 2) + b = 2(x + -3) Reorder the terms: 4(2 + x) + b = 2(x + -3) (2 * 4 + x * 4) + b = 2(x + -3) (8 + 4x) + b = 2(x + -3) Reorder the terms: 8 + b + 4x = 2(x + -3) Reorder the terms: 8 + b + 4x = 2(-3 + x) 8 + b + 4x = (-3 * 2 + x * 2) 8 + b + 4x = (-6 + 2x) Solving 8 + b + 4x = -6 + 2x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + b + -8 + 4x = -6 + -8 + 2x Reorder the terms: 8 + -8 + b + 4x = -6 + -8 + 2x Combine like terms: 8 + -8 = 0 0 + b + 4x = -6 + -8 + 2x b + 4x = -6 + -8 + 2x Combine like terms: -6 + -8 = -14 b + 4x = -14 + 2x Add '-4x' to each side of the equation. b + 4x + -4x = -14 + 2x + -4x Combine like terms: 4x + -4x = 0 b + 0 = -14 + 2x + -4x b = -14 + 2x + -4x Combine like terms: 2x + -4x = -2x b = -14 + -2x Simplifying b = -14 + -2x
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