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Simplify:
[tex]\[ -5x + 7(4 + 6x) \][/tex]

Put the answer with the variable on the left in fraction form if needed, with the number on the right. Do not include any spaces (i.e., [tex]\(-\frac{1}{2}x + 2\)[/tex]).



Answer :

GinnyAnswer
Sure, let's simplify the given expression step-by-step:
[tex]\[ -5x + 7(4 + 6x) \][/tex]

First, distribute the 7 through the parentheses:

[tex]\[ -5x + 7 \cdot 4 + 7 \cdot 6x \][/tex]

This gives us:

[tex]\[ -5x + 28 + 42x \][/tex]

Now, combine the like terms [tex]\(-5x\)[/tex] and [tex]\(42x\)[/tex]:

[tex]\[ -5x + 42x + 28 \][/tex]

Combine the [tex]\(x\)[/tex] terms:

[tex]\[ (42x - 5x) + 28 \][/tex]

This simplifies to:

[tex]\[ 37x + 28 \][/tex]

So the simplified form of [tex]\( -5x + 7(4 + 6x) \)[/tex] is:

[tex]\[ 37x + 28 \][/tex]

There are no fractions or further simplifications needed in this case, so the final answer is:

[tex]\[ 37x + 28 \][/tex]

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