Answer
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Step 1:: Identify the equation and its components.
Here, $$2x$$ is the term multiplied by the variable, $$3$$ is the constant term, and $$7$$ is the target value that the equation should equal after solving for the variable.
Step 2:: Move all terms containing the variable to one side of the equation and all other terms to the other side.
2x + 3 - 3 = 7 - 3 \Rightarrow 2x = 4
To do this, subtract the constant term from both sides:
Step 3:: Solve for the variable by isolating it.
\frac{2x}{2} = \frac{4}{2} \Rightarrow x = 2
Divide both sides of the equation by the coefficient of the variable:
Step 4:: Check the solution by substituting the calculated value back into the original equation.
2(2) + 3 = 7 \Rightarrow 4 + 3 = 7 \Rightarrow 7 = 7
Since both sides of the equation are equal, the solution is correct.
Final Answer
The solution to the equation 2x + 3 = 7 is x = 2.
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