clearly, plainly
Please state clearly how many tickets you require.

exactly, explicitly, expressly, precisely, specifically
These facts were nowhere explicitly stated.

categorically, unequivocally, with certainty
She stated categorically that she had no intention of leaving.

boldly, proudly
emphatically, firmly
bluntly, flatly, matter-of-factly
‘Alcohol doesn't solve problems,’ she stated flatly.

confidently, with confidence
accurately
correctly, rightly
falsely, incorrectly, wrongly (esp. BrE)
openly, publicly
He stated his own views quite openly.

formally, officially
briefly, succinctly
quietly
just, merely, simply
I am merely stating the facts.

repeatedly

go on to
The report goes on to state that …

fail to
The committee failed to state their reasons for this decision.

let sb

as previously stated, as stated earlier, as stated previously
As previously stated, the phrase has an ambiguous meaning.

stated above, stated below
We cannot accept this proposal for the reasons stated above.

state at the outset
Let me state at the outset that this report contains little that is new.

state for the record
Let me state for the record that my knowledge of wine is almost non-existent.

state the obvious
At the risk of stating the obvious, people who have not paid cannot be admitted.

unless otherwise stated, unless stated otherwise
All the photographs in this book, unless otherwise stated, date from the 1950s.

State is used with these nouns as the subject:
act, advert, advertisement, article, counsel, document, email, guideline, letter, message, participant, report, resolution, rule, sign, witness

State is used with these nouns as the object:
belief, case, desire, fact, intention, objection, objective, opinion, preference, reason, view

State is used with these nouns:
action, administration, agency, aid, airline, apartment, apparatus, archive, assembly, asset, association, banquet, benefit, boundary, budget, bureaucracy, bureaucrat, capital, capitalism, censorship, census, champion, championship, charter, college, commission, commissioner, constitution, control, convention, council, custody, delegation, department, dinner, education, election, emergency, employee, enterprise, execution, expenditure, facility, fair, farm, federation, final, finance, fund, funding, funeral, government, governor, grant, guideline, handout, hospital, inmate, institution, insurance, interference, intervention, investment, land, law, legislation, legislature, library, line, lottery, machine, mandate, militia, monopoly, motto, occasion, office, official, opening, organization, ownership, park, parliament, pension, police, premier, propaganda, prosecutor, provision, radio, railway, recognition, regulation, religion, representative, repression, restriction, revenue, school, secret, secretary, sector, security, senator, socialism, sovereignty, spending, sponsor, sponsorship, standard, statute, steward, subsidy, support, system, tax, taxation, television, terror, terrorism, transportation, treasurer, trial, university, veterinarian, visit, voter, welfare, witness