Balanced equation for chlorine reacting with sodium hydroxide to form bleach

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coolnufc
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Could anyone help me with this, i have an answer but I am sure its not right.

Bleach is an aqueous solution of sodium chloride and sodium chlorate(l), NaClO, in a 1:1 ratio. It is produced by dissolving chlorine gas in cold dilute aqueous sodium hydroxide.

a) write a balanced equation for the reaction of chlorine with sodium hydroxide to form bleach.

Ive got:
Cl2 + 2NaOH -> NaCl + NaClO + H20.

anyone check this for me?
 

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