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0.6x+3.4-0.1x\leq 8.4
Subtract 0.1x from both sides.
0.5x+3.4\leq 8.4
Combine 0.6x and -0.1x to get 0.5x.
0.5x\leq 8.4-3.4
Subtract 3.4 from both sides.
0.5x\leq 5
Subtract 3.4 from 8.4 to get 5.
x\leq \frac{5}{0.5}
Divide both sides by 0.5. Since 0.5 is positive, the inequality direction remains the same.
x\leq \frac{50}{5}
Expand \frac{5}{0.5} by multiplying both numerator and the denominator by 10.
x\leq 10
Divide 50 by 5 to get 10.