"In this instance James seems to have been chosen as the one to announce the decision arrived at by the council. It was his sentence that the ceremonial law, and especially the ordinance of circumcision, should not be urged upon the Gentiles, or even recommended to them. James sought to impress the minds of his brethren with the fact that, in turning to God, the Gentiles had made a great change in their lives and that much caution should be used not to trouble them with perplexing and doubtful questions of minor importance, lest they be discouraged in following Christ. AA 195.1"
"Wherefore my sentence is, that we trouble not them, which from among the Gentiles are turned to God:"
The EGW passage directly quotes Acts 15:19.
"The Gentile converts, however, were to give up the customs that were inconsistent with the principles of Christianity. The apostles and elders therefore agreed to instruct the Gentiles by letter to abstain from meats offered to idols, from fornication, from things strangled, and from blood. They were to be urged to keep the commandments and to lead holy lives. They were also to be assured that the men who had declared circumcision to be binding were not authorized to do so by the apostles. AA 195.2"
"But that we write unto them, that they abstain from pollutions of idols, and from fornication, and from things strangled, and from blood."
The EGW passage directly references and summarizes the content of Acts 15:20.
"But I say, that the things which the Gentiles sacrifice, they sacrifice to devils, and not to God: and I would not that ye should have fellowship with devils."
Both passages discuss the issue of Gentiles abstaining from meats offered to idols. While the EGW passage refers to the decree from Acts 15, the 1 Corinthians passage addresses the same issue, making it a thematic parallel.