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16x+400-10x\leq 550
Use the distributive property to multiply 40-x by 10.
6x+400\leq 550
Combine 16x and -10x to get 6x.
6x\leq 550-400
Subtract 400 from both sides.
6x\leq 150
Subtract 400 from 550 to get 150.
x\leq \frac{150}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x\leq 25
Divide 150 by 6 to get 25.