Answer :

Sure, let's solve the equation step-by-step:

The given equation is:
[tex]\[ 6x - 3 = 7x + 1 \][/tex]

Step 1: Subtract [tex]\(6x\)[/tex] from both sides

[tex]\[ 6x - 3 - 6x = 7x + 1 - 6x \][/tex]

This simplifies to:
[tex]\[ -3 = x + 1 \][/tex]

Step 2: Subtract 1 from both sides

[tex]\[ -3 - 1 = x + 1 - 1 \][/tex]

This simplifies to:
[tex]\[ -4 = x \][/tex]

So, the solution to the equation [tex]\(6x - 3 = 7x + 1\)[/tex] is:
[tex]\[ x = -4 \][/tex]

Thus, the value of [tex]\(x\)[/tex] is [tex]\(\boxed{-4}\)[/tex].

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