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To solve for x in the equation 7(x+2)=-35, we first distribute the 7 to the terms within the parenthesis:
7*x + 7*2 = -35
This simplifies to:
7x + 14 = -35
Next, we isolate the term containing x by subtracting 14 from both sides of the equation:
7x = -49
Finally, we solve for x by dividing both sides of the equation by 7:
x = -49/7
Simplifying the division, we get:
x = -7
Therefore, the value of x that solves the equation 7(x+2)=-35 is x = -7.