$\frac{(7x)^{11} * (49x)^2 * 7}{(7x^2)^3 * (343x)^4} = 56$
$\frac{7^{11}x^{11} * (7^2x)^2 * 7}{7^3x^6 * (7^3x)^4} = 56$
$\frac{7^{11}x^{11} * 7^5x^2}{7^3x^6 * 7^{12}x^4} = 56$
$\frac{7^{16}x^{13}}{7^{15}x^{10}} = 56$
$7x^3 = 56$
$x^3 = 8$
x = 2

$\frac{(3x)^9 * (9x^4)^3 * x^2}{(3x^3)^5 * (27x)^3} = -96$
$\frac{3^9x^9 * 9^3x^{12} * x^2}{3^5x^{15} * 27^3x^3} = -96$
$\frac{3^9x^{23} * 9^3}{3^5x^{18} * 27^3} = -96$
$\frac{3^4x^{5} * 9^3}{(9 * 3)^3} = -96$
$\frac{3^4x^{5} * 9^3}{9^3 * 3^3} = -96$
$3x^5 = -96$
$x^5 = -32$
x = −2