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3x+2\left(2x+4\right)=42
Multiply both sides of the equation by 6, the least common multiple of 6,3.
3x+4x+8=42
Use the distributive property to multiply 2 by 2x+4.
7x+8=42
Combine 3x and 4x to get 7x.
7x=42-8
Subtract 8 from both sides.
7x=34
Subtract 8 from 42 to get 34.
x=\frac{34}{7}
Divide both sides by 7.