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Solve the following equation for
x. Express your answer in the simplest form.

4(-2x-1)=-2(4x+2)

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $4(-2 x-1)=-2(4 x+2)$ $\newline$

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Evaluate expression when two complex numbers are given

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

4(-2 x-1)=-2(4 x+2)

\newline

Distribute Numbers: We are given the equation: $\newline$ $4(-2x - 1) = -2(4x + 2)$ $\newline$ First, we need to distribute the numbers outside the parentheses to the terms inside.
Left Side Calculation: Distribute $4$ to the terms inside the first set of parentheses: $\newline$ $4 \times -2x = -8x$ $\newline$ $4 \times -1 = -4$ $\newline$ So, the left side of the equation becomes: $\newline$ $-8x - 4$
Right Side Calculation: Distribute $-2$ to the terms inside the second set of parentheses: $\newline$ $-2 \times 4x = -8x$ $\newline$ $-2 \times 2 = -4$ $\newline$ So, the right side of the equation becomes: $\newline$ $-8x - 4$
Equation Comparison: Now, the equation looks like this: $\newline$ $-8x - 4 = -8x - 4$ $\newline$ Next, we can try to isolate $x$ , but we notice that both sides of the equation are identical.
Infinite Solutions: Since both sides of the equation are the same, any value of $x$ will satisfy the equation. This means the equation has infinitely many solutions.

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