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To solve the inequality 2x - 10 ≤ 52, we will isolate x by adding 10 to both sides:
2x - 10 + 10 ≤ 52 + 10
Simplifying, we have:
2x ≤ 62
Then, to solve for x, we divide both sides of the inequality by 2:
2x/2 ≤ 62/2
x ≤ 31
Therefore, the solution to the inequality is x ≤ 31.