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Explanation:

Step1: Subtract 3 from -1

To find the value of the right - hand side after subtraction, we calculate \(-1-3\). According to the rule of subtracting integers, \(a - b=a+(-b)\), so \(-1-3=-1+(-3)\). When adding two negative numbers, we add their absolute values and keep the negative sign. The absolute value of \(-1\) is \(1\), the absolute value of \(-3\) is \(3\), and \(1 + 3=4\), so \(-1+(-3)=-4\).

Step2: Determine the inequality

After subtracting 3 from both sides of the inequality \(x + 3\leq-1\), we get \(x\leq-4\).

Answer:

\(-4\)