Solve the equation, and check the solution. See Examples
EXAMPLE Combining Like Terms When Solving
Solve 3t − 12 + t + 2 − 5 + 3t + 2.
The check results in a true statement, so the solution set is {17}.
EXAMPLE Using the Distributive Property When Solving
Solve 3 (2 + 5x) − (1 + 14x) − 6.
Check by substituting 1 for x in the original equation. The solution set is {1}.
3x + 6 − 10 = 2x − 2
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