Rom 3:
21 But now the righteousness of God has been clearly revealed [independently and completely] apart from the Law, though it is [actually] confirmed by the Law and the [words and writings of the] Prophets.
22 This righteousness of God comes through faith in Jesus Christ for all those [Jew or Gentile] who believe [and trust in Him and acknowledge Him as God’s Son]. There is no distinction,
23 since all have sinned and continually fall short of the glory of God,
24 and are being justified [declared free of the guilt of sin, made acceptable to God, and granted eternal life] as a gift by His [precious, undeserved] [c]grace, through the redemption [the payment for our sin] which is [provided] in Christ Jesus,
25 whom God displayed publicly [before the eyes of the world] as a [life-giving] [d]sacrifice of atonement and reconciliation (propitiation) by His blood [to be received] through faith. This was to demonstrate His righteousness [which demands punishment for sin], because in His forbearance [His deliberate restraint] He passed over the sins previously committed [before Jesus’ crucifixion].
26 It was to demonstrate His righteousness at the present time, so that He would be just and the One who justifies those who have faith in Jesus [and rely confidently on Him as Savior].
Eph 2:
8 For it is by grace [God’s remarkable compassion and favor drawing you to Christ] that you have been saved [actually delivered from judgment and given eternal life] through faith. And this [salvation] is not of yourselves [not through your own effort], but it is the [undeserved, gracious] gift of God;
9 not as a result of [your] works [nor your attempts to keep the Law], so that no one will [be able to] boast or take credit in any way [for his salvation]
Rom. 3:24 and are being justified [declared free of the guilt of sin, made acceptable to God, and granted eternal life] as a gift by His [precious, undeserved] [c]grace, through the redemption [the payment for our sin] which is [provided] in Christ Jesus,
Rom 10:
9 because if you acknowledge and confess with your mouth that Jesus is Lord [recognizing His power, authority, and majesty as God], and believe in your heart that God raised Him from the dead, you will be saved.
10 For with the heart a person believes [in Christ as Savior] resulting in his justification [that is, being made righteous—being freed of the guilt of sin and made acceptable to God]; and with the mouth he acknowledges and confesses [his faith openly], resulting in and confirming [his] salvation.
Acts 10:
44 While Peter was still speaking these words, the Holy Spirit fell on all those who were listening to the message [confirming God’s acceptance of Gentiles].
(MY NOTE: As Peter spoke, (Faith comes by hearing - Rom 10:17) those hearing believed)
45 All the circumcised believers who came with Peter were amazed, because the gift of the Holy Spirit had been poured out even on the Gentiles
(MY NOTE: Thru faith alone, regeneration/Christ's salvation sealing/eternal life giving Holy Spirit (2 Cor 1:22, 5:5, 2 Tim 1:14, Eph 4:30) was/is given!)
Posted passages proclaim Salvation/Eternal Life is given via faith in the merits/work/sin payment & resurrection of Christ. Also see 1 Jn 2:2 & 1 Jn 4:10