[tex]3 {(x - 7)}^{2} - 2(x + 7)(x - 2) = (x + 1)(x - 4) + 101 \\ 3( {x}^{2} - 14x + 49) - 2( {x}^{2} - 2x + 7x - 14) = {x}^{2} - 4x + x - 4 + 101 \\ {3x}^{2} - 42x + 147 - {2x}^{2} - 10x + 28 = {x}^{2} - 3x + 97 \\ - 49x = - 78 \\ x = 1 \frac{29}{78} [/tex]
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[tex]3 {(x - 7)}^{2} - 2(x + 7)(x - 2) = (x + 1)(x - 4) + 101 \\ 3( {x}^{2} - 14x + 49) - 2( {x}^{2} - 2x + 7x - 14) = {x}^{2} - 4x + x - 4 + 101 \\ {3x}^{2} - 42x + 147 - {2x}^{2} - 10x + 28 = {x}^{2} - 3x + 97 \\ - 49x = - 78 \\ x = 1 \frac{29}{78} [/tex]