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Simplifying 7(x + b) = 3(x + 4) Reorder the terms: 7(b + x) = 3(x + 4) (b * 7 + x * 7) = 3(x + 4) (7b + 7x) = 3(x + 4) Reorder the terms: 7b + 7x = 3(4 + x) 7b + 7x = (4 * 3 + x * 3) 7b + 7x = (12 + 3x) Solving 7b + 7x = 12 + 3x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7x' to each side of the equation. 7b + 7x + -7x = 12 + 3x + -7x Combine like terms: 7x + -7x = 0 7b + 0 = 12 + 3x + -7x 7b = 12 + 3x + -7x Combine like terms: 3x + -7x = -4x 7b = 12 + -4x Divide each side by '7'. b = 1.714285714 + -0.5714285714x Simplifying b = 1.714285714 + -0.5714285714x
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