− 2 ( x − 7 ) = − ( 2 x + 5 ) − 2 x + 14 = − 2 x − 5 − 2 x + 2 x = − 5 − 14 0 = − 19 x = ∅
− 2 ( x − 7 ) = − ( 2 x + 5 ) − 2 x + 14 = − 2 x − 5 14 = − 5 x ∈ ∅
Upon solving the equation -2(x - 7) = -(2x + 5), we find that it simplifies to 14 = -5, which is false. Therefore, the equation has no solution. This means that the lines represented by the expressions do not intersect.
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