Are all people, just as they were lost through Adam, saved through Christ?

    No, only those who are elected by God and united to Christ by faith.Nevertheless God in his mercy demonstrates common grace even to those who are not elect, by restraining the effects of sin and enabling works of culture for human well-being.

    Romans 5:17

    For if, because of one man’s trespass, death reigned through that one man, much more will those who receive the abundance of grace and the free gift of righteousness reign in life through the one man Jesus Christ.