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It is not possible to change the precedence, grouping, or number of operands of operators.
The "precedence" is not directly specified in this document, it is implied by the syntaxes of the grammar of expressions. [expr.footnote] p42 says
The precedence of operators is not directly specified, but it can be derived from the syntax.
It is plausible to use syntax in this wording to imply the precedence is not changed.
It is not possible to change the syntax, grouping, or number of operands of operators.
A + B * C;
Assume that A, B, and C are of class types. The expression is interpreted as additive-expression + multiplicative-expression rather than additive-expression * id-expression.