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Solve the equation negative six π₯ minus one equals negative 23.
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In order to solve this equation, we need to solve for π₯.
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Therefore, our first step to isolate π₯ will be to get rid of the negative one and the opposite of subtracting one is adding one.
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And whatever we do to one side, we must do to the other.
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So negative one plus one is zero, which means they cancel, and then weβre left with a negative six π₯ on the left-hand side of the equation.
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And then, negative 23 plus one is negative 22.
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Now, thereβs only one step left to solve for π₯, to isolate it.
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We need to get rid of the negative six and the negative six is being multiplied to π₯.
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And the opposite of multiplying to π₯ would be to divide.
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So we divide both sides of the equation by negative six.
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Negative six divided by negative six is a positive one.
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But one π₯ is the same as π₯.
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So we can just write π₯.
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And then on the right-hand side of the equation, negative 22 divided by negative six.
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Two negatives when dividing become a positive and 22 sixths can reduce.
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There is a number that goes into 22 and six.
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The largest number that goes into both would be two.
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22 divided by two is 11 and six divided by two is three.
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So this means it reduces to 11 thirds.
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Solving our equation for π₯, we get that π₯ is equal to 11 thirds.