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Simplify the expression:

[tex]\[ x - 0.6x \][/tex]


Sagot :

To solve the expression [tex]\(x - 0.6x\)[/tex], let's go through it step-by-step:

1. Understand the Expression:

The given expression is [tex]\(x - 0.6x\)[/tex]. This involves a variable [tex]\(x\)[/tex] and a coefficient [tex]\(0.6\)[/tex] which is a multiplier for [tex]\(x\)[/tex].

2. Factor Out the Common Term:

Both terms in the expression share the common variable [tex]\(x\)[/tex]. You can factor [tex]\(x\)[/tex] out of the expression:
[tex]\[ x - 0.6x = x(1 - 0.6) \][/tex]

3. Simplify the Expression Inside the Parentheses:

Next, simplify the part inside the parentheses:
[tex]\[ 1 - 0.6 = 0.4 \][/tex]

4. Combine the Terms:

Now, multiply [tex]\(x\)[/tex] by the simplified coefficient:
[tex]\[ x(0.4) = 0.4x \][/tex]

5. Conclusion:

Therefore, the simplified form of the expression [tex]\(x - 0.6x\)[/tex] is:
[tex]\[ 0.4x \][/tex]

Thus, if you substitute any value for [tex]\(x\)[/tex], the expression [tex]\(x - 0.6x\)[/tex] will yield [tex]\(0.4\)[/tex] times that value of [tex]\(x\)[/tex].