"Those who put their trust in Christ are not to be enslaved by any hereditary or cultivated habit or tendency. Instead of being held in bondage to the lower nature, they are to rule every appetite and passion. God has not left us to battle with evil in our own finite strength. Whatever may be our inherited or cultivated tendencies to wrong, we can overcome through the power that He is ready to impart. MH 175.1"
"I can do all things through Christ which strengtheneth me."
The EGW passage directly reflects the principle of overcoming through Christ's strength, as stated in Philippians 4:13.
"For sin shall not have dominion over you: for ye are not under the law, but under grace."
The EGW passage speaks about not being enslaved by sin, which directly reflects the principle in Romans 6:14 that sin shall not have dominion over believers.