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Algebra

# Absolute Value Equations

What is the sum of all values of $$x$$ that satisfy $\lvert{x-2}\rvert=10?$

Find the sum of all the integer values of $$x$$ that satisfy $|x-49|+|x-50|=7?$

What is the sum of the absolute values of all values of $$x$$ that satisfy $\lvert{\lvert{x-3}\rvert-5}\rvert=12?$

What is the value of $$x$$ that satisfies $2x^2+5 \lvert{x}\rvert+3=0 ?$

What is the value of $$x$$ that satisfies the equation $\lvert{x-11}\rvert=\lvert{25-x}\rvert?$

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