Form of liberalism blending laissez faire- and some social welfare?

[Hugo]

Is there one which effectively combines:

Deregulation of the economy and total abolition of subsidies
Equality of opportunity by the provision of some social justice projects. (Though no interference into markets, think of taxes just paying for services for the more deisadvantaged citizens)

In answer to any comments that may follow suggesting this couldn't exist then I say this:
Whilst I accept ensuring equality of opportunity, by the provision of social housing and healthcare, may distort a nation's economy, if this is the government's priority then it can just accept the side-effects and from that point forwards strive to provide an economic system that is most efficient and de-regulated for its private businesses.
It is not an ideal situation, but that doesn't undermine its validity.

[brucec83]

All governments run on such a system to an extent. I call it the Mixed Free-Market Social Democracy.