Because Adam died spiritually, we also carried spiritual death until we were "quickened" to life by the Person of the Holy Spirit.
We had death in Adam, but... We have MUCH MORE life in Christ than we had death in Adam.
Rom 5:17-18 (ESV) 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. 18 Therefore, as one trespass led to condemnation for all men, so one act of righteousness leads to justification and life for all men.