Linear Equation Pattern

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A Linear Equation Pattern is an algebraic equation pattern of the form [math]\displaystyle{ a_1x_1+a_2x_2+...+a_nx_n = b }[/math], where [math]\displaystyle{ x_1,...,x_n }[/math] are free numerical variables, [math]\displaystyle{ a_1,...,a_n,b }[/math] are numerical coefficients.