Вы можете обернуть ректы в дополнительный элемент g и применить преобразование к этой группе. В следующем примере я использую анимацию SMIL, чтобы сделать это:
body{background:black;}
#SVGID_7_{stroke:red; fill="none"}
<svg viewBox = "740 520 130 180">
<g>
<defs>
<path id="SVGID_7_" d="M775.58,676.03h69.62V552.34h-69.62V676.03z M871.16,552.34l0,123.69l69.63,0l0-123.69L871.16,552.34z
M967.23,552.34l0,123.69l69.63,0l0-123.69L967.23,552.34z M1132.94,552.34l-69.63,0l0,123.69l69.63,0L1132.94,552.34z"/>
</defs>
<clipPath id="SVGID_8_">
<use xlink:href="#SVGID_7_" fill="black"/>
</clipPath>
<use xlink:href="#SVGID_7_"/>
<g id="Reflection" clip-path="url(#SVGID_8_)">
<g transform="translate(-80,0)">
<rect x="702.5" y="601.74" transform="matrix(0.395 -0.9187 0.9187 0.395 -81.7378 1094.6456)" fill="#FFFFFF" width="175.45" height="15.28"/>
<rect x="732.3" y="601.74" transform="matrix(0.395 -0.9187 0.9187 0.395 -63.7121 1122.0173)" fill="#FFFFFF" width="175.45" height="15.28"/>
<animateTransform
attributeType="XML"
attributeName="transform"
type="translate"
values="-80,0; 200,0"
calcMode="linear"
dur="4s"
repeatCount="indefinite" />
</g>
</g>
</g>
</svg>
И тот же пример с использованием анимации CSS:
body{background:black;}
#SVGID_7_{stroke:red; fill="none"}
#Reflection g{animation: anim 4s infinite;}
@keyframes anim {
from { transform:translate(-80px,0)}
to { transform:translate(200px,0)}
}
<svg viewBox = "740 520 130 180">
<g>
<defs>
<path id="SVGID_7_" d="M775.58,676.03h69.62V552.34h-69.62V676.03z M871.16,552.34l0,123.69l69.63,0l0-123.69L871.16,552.34z
M967.23,552.34l0,123.69l69.63,0l0-123.69L967.23,552.34z M1132.94,552.34l-69.63,0l0,123.69l69.63,0L1132.94,552.34z"/>
</defs>
<clipPath id="SVGID_8_">
<use xlink:href="#SVGID_7_" fill="black"/>
</clipPath>
<use xlink:href="#SVGID_7_"/>
<g id="Reflection" clip-path="url(#SVGID_8_)">
<g>
<rect x="702.5" y="601.74" transform="matrix(0.395 -0.9187 0.9187 0.395 -81.7378 1094.6456)" fill="#FFFFFF" width="175.45" height="15.28"/>
<rect x="732.3" y="601.74" transform="matrix(0.395 -0.9187 0.9187 0.395 -63.7121 1122.0173)" fill="#FFFFFF" width="175.45" height="15.28"/>
</g>
</g>
</g>
</svg>