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4x+4\leq 2x-3
Use the distributive property to multiply 4 by x+1.
4x+4-2x\leq -3
Subtract 2x from both sides.
2x+4\leq -3
Combine 4x and -2x to get 2x.
2x\leq -3-4
Subtract 4 from both sides.
2x\leq -7
Subtract 4 from -3 to get -7.
x\leq -\frac{7}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.