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To find the possible values of x in the inequality −8x + 6 ≤ 2(−3x + 1), we can simplify the inequality by distributing and combining like terms:
-8x + 6 ≤ -6x + 2
Next, we can isolate the variable x by moving all terms with x to one side of the inequality:
-8x + 6x ≤ 2 - 6
-2x ≤ -4
Now, we divide both sides of the inequality by -2. Remember that when dividing by a negative number, we need to reverse the inequality sign:
x ≥ 2
Therefore, the possible values of x in the inequality are x ≥ 2.
So, the correct answer is A. x ≥ 2