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, by the trespass of the one man, death reigned through that one man, how much more will those who receive God’s abundant provision of grace and of the gift of righteousness reign in life through the one man, Jesus Christ!

What happens after death to those not united to Christ by faith?

At the day of judgment they will receive the fearful but just sentence of condemnation pronounced against them. They will be cast out from the favorable presence of God, into hell, to be justly and grievously punished, forever.

John 3:16–18 and 36

For God so loved the world that he gave his one and only Son, that whoever believes in him shall not perish but have eternal life. For God did not send his Son into the world to condemn the world, but to save the world through him. Whoever believes in him is not condemned, but whoever does not believe stands condemned already because they have not believed in the name of God’s one and only Son…. Whoever believes in the Son has eternal life, but whoever rejects the Son will not see life, for God’s wrath remains on them.

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