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$\\frac{1}{x} + \\frac{1}{\\var{a1}x+\\var{a2}}$

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$\\simplify{{b1}x} + \\simplify{{b2}/(x+{b3})}$

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$\\simplify{(x-{c1})/(x-{c2})}+\\simplify{({ct})/(x-{c3})}$

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$\\simplify{{dt1}/(x-{d1})} + \\simplify{{dt2}/((x-{d2})(x-{d3}))}$

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Express each of these as a single fraction in its simplest form.

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