Maths Olympiad Prep

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Problem 442

Algebra Difficulty 2.1 Find the answer CEMC Cayley

If x=3x=3, what is the value of −(5x−6x)-(5x - 6x)?

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

When x=3x=3, we have −(5x−6x)=−(−x)=x=3-(5x - 6x) = -(-x) = x = 3. Alternatively, when x=3x=3, we have −(5x−6x)=−(15−18)=−(−3)=3-(5x - 6x) = -(15 - 18) = -(-3) = 3.

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