[tex](3x + 5)(2x + 1) = (6x + 5)(x - 3) + 7 \\ 6 {x}^{2} + 3x + 10x + 5 = 6 {x}^{2} - 18x + 5x - 15 + 7 \\ 6 {x}^{2} - 6 {x}^{2} + 3x + 10x + 18x - 5x = - 15 + 7 - 5 \\ 26x = - 13 \\ x = - \frac{13}{26} = - \frac{1}{2} [/tex]
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[tex](3x + 5)(2x + 1) = (6x + 5)(x - 3) + 7 \\ 6 {x}^{2} + 3x + 10x + 5 = 6 {x}^{2} - 18x + 5x - 15 + 7 \\ 6 {x}^{2} - 6 {x}^{2} + 3x + 10x + 18x - 5x = - 15 + 7 - 5 \\ 26x = - 13 \\ x = - \frac{13}{26} = - \frac{1}{2} [/tex]