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Sagot :
EXPLANATION
We can affirm by the triangle midsegment theorem that the segment DF is half of the segment BC, therefore:
[tex]DF=\frac{1}{2}BC[/tex]Plugging in the terms into the expression:
[tex](4x-3)=\frac{1}{2}(6(x+1))[/tex]Applying the distributive property and removing the parentheses:
[tex]4x-3=3x+3[/tex]Subtracting -3x to both sides:
[tex]4x-3x-3=3[/tex]Subtracting terms:
[tex]x-3=3[/tex]Adding +3 to both sides:
[tex]x=3+3[/tex]Adding numbers:
[tex]x=6[/tex]In conclusion, the value of x is 6
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