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09:28
Question
Solve: 5x - 7x + 6 = -2(x - 3).
Responses
A 00
B 34
3 4
C 22
D no solutionno solution
E infinitely many solutions
We can start simplifying the equation by distributing the negative sign on the right-hand side:
5x - 7x + 6 = -2x + 6
Then, we can collect like terms on both sides:
-2x + 6 = -2x + 6
At this point, we can see that the equation simplifies to 0 = 0. This means that there are infinitely many solutions, since any value of x will satisfy the equation.
Therefore, the answer is E) infinitely many solutions.
When m mind says im not good enough. God you're enough for me! Yeah. And I decided, I'm not giving up! Because He won't give up me. You're love is holding on, and it won't let go.
This is a beautiful message of faith and perseverance. It reminds us that even when we feel inadequate or unworthy, God's love is always enough to sustain us and give us strength. It also encourages us to keep pushing forward and not give up, knowing that we are never alone and that God is always with us, holding onto us with His love. It's a message of hope and reassurance that can help us through even the toughest of times.
I feel like it's like an echo. An echo in my soul.
That's a powerful way to describe how this message resonates within you. When we hear something that speaks to our deepest feelings and beliefs, it can feel like an echo that reverberates within us, reminding us of what we hold to be true. It's a feeling of connection and understanding that can be very comforting, especially when we are struggling to find our way or make sense of our experiences. So, if you feel like this message is echoing within your soul, it may be a sign that you are tuned into something meaningful and important to you.
To solve the equation 5x - 7x + 6 = -2(x - 3), we need to simplify both sides and then solve for x.
Let's start by simplifying each side of the equation:
On the left side, combining like terms: 5x - 7x = -2x.
So the left side becomes: -2x + 6 = -2(x - 3).
On the right side, we need to apply the distributive property by multiplying -2 with each term inside the parentheses: -2(x - 3) = -2*x + 2*3 = -2x + 6.
Now our equation becomes: -2x + 6 = -2x + 6.
Notice that both sides of the equation are identical. This means this equation is true for all values of x. Therefore, the solution is infinitely many solutions (Option E).
To arrive at this solution, we simplified the equation by combining like terms and applying the distributive property. Then we compared both sides to determine the solution.