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Question
Solve:
13(x − 4) - 3(x − 9) − 5(x + 4) = 0
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Solution
13(x − 4) − 3(x − 9) − 5(x + 4) = 0
Distribute the coefficients:
13(x − 4) = 13x − 52
−3(x − 9) = −3x + 27
−5(x + 4) = −5x − 20
Substitute these back into the equation: 13x − 52 − 3x + 27 − 5x − 20 = 0
Combine x-terms: 13x − 3x − 5x = 5x
Combine constant terms: −52 + 27 − 20 = −45
The equation becomes: 5x − 45 = 0
Add 45 to both sides: 5x = 45
Divide by 5: x = 9
x = 9
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