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