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5x-2+x\leq 4
Add x to both sides.
6x-2\leq 4
Combine 5x and x to get 6x.
6x\leq 4+2
Add 2 to both sides.
6x\leq 6
Add 4 and 2 to get 6.
x\leq \frac{6}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x\leq 1
Divide 6 by 6 to get 1.