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Answer :
To solve the equation [tex]\(\frac{3x}{6} + 1 = 7\)[/tex], we need to find the value of [tex]\(x\)[/tex].
1. Simplify the equation:
Start by isolating the fraction. Subtract 1 from both sides of the equation:
[tex]\[\frac{3x}{6} = 7 - 1\][/tex]
[tex]\[\frac{3x}{6} = 6\][/tex]
2. Simplify the fraction:
The fraction [tex]\(\frac{3x}{6}\)[/tex] can be simplified by dividing both the numerator and the denominator by 3:
[tex]\[\frac{x}{2} = 6\][/tex]
3. Solve for [tex]\(x\)[/tex]:
To get [tex]\(x\)[/tex] by itself, multiply both sides of the equation by 2:
[tex]\[x = 6 \times 2\][/tex]
[tex]\[x = 12\][/tex]
Therefore, the solution to the equation is [tex]\(x = 12\)[/tex]. This matches the option [tex]\(x = 12\)[/tex].
1. Simplify the equation:
Start by isolating the fraction. Subtract 1 from both sides of the equation:
[tex]\[\frac{3x}{6} = 7 - 1\][/tex]
[tex]\[\frac{3x}{6} = 6\][/tex]
2. Simplify the fraction:
The fraction [tex]\(\frac{3x}{6}\)[/tex] can be simplified by dividing both the numerator and the denominator by 3:
[tex]\[\frac{x}{2} = 6\][/tex]
3. Solve for [tex]\(x\)[/tex]:
To get [tex]\(x\)[/tex] by itself, multiply both sides of the equation by 2:
[tex]\[x = 6 \times 2\][/tex]
[tex]\[x = 12\][/tex]
Therefore, the solution to the equation is [tex]\(x = 12\)[/tex]. This matches the option [tex]\(x = 12\)[/tex].
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