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Expand and simplify:

[tex]\[ 5(1 - 2x) - 3(x + 6) \][/tex]

Sagot :

GinnyAnswer
Of course! Let's solve the expression step-by-step.

We start with the expression:
[tex]\[ 5(1 - 2x) - 3(x + 6) \][/tex]

Step 1: Distribute the 5 within the first parentheses.

[tex]\[ 5 \cdot 1 - 5 \cdot 2x \][/tex]

This gives us:

[tex]\[ 5 - 10x \][/tex]

Step 2: Distribute the [tex]\(-3\)[/tex] within the second parentheses.

[tex]\[ -3 \cdot x - 3 \cdot 6 \][/tex]

This gives us:

[tex]\[ -3x - 18 \][/tex]

Step 3: Combine the results from both distributions.

We have:

[tex]\[ 5 - 10x - 3x - 18 \][/tex]

Step 4: Simplify by combining like terms.

- Combine the constant terms: [tex]\(5\)[/tex] and [tex]\(-18\)[/tex]:

[tex]\[ 5 - 18 = -13 \][/tex]

- Combine the [tex]\(x\)[/tex]-terms: [tex]\(-10x\)[/tex] and [tex]\(-3x\)[/tex]:

[tex]\[ -10x - 3x = -13x \][/tex]

Thus, the simplified form of the expression is:

[tex]\[ -13 - 13x \][/tex]

So the expanded and simplified form of the original expression [tex]\(5(1 - 2x) - 3(x + 6)\)[/tex] is:

[tex]\[ -13 - 13x \][/tex]
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