3(x + 3) - 7(x - 1) = 0 (your statement)
3x + 9 - 7x + 7 = 0 (apply the distributive property to eliminate parenthesis)
-4x + 16 = 0 (collect terms)
-4x + 16 - 16 = 0 - 16 (subtract 16 from both sides)
-4x = -16 (collect terms)
-4x/-4 = -16/-4 (divide both sides by -4 to isolate the variable)
x = 4 (solution)
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Check
3(x + 3) - 7(x - 1) = 0 (your statement)
3(4 + 3) - 7(4 - 1) = 0 (substitute the value of "x")
3(7) - 7(3) =0 (simplify within parenthesis)
21 - 21 = 0 (carry out multiplication)
0 = 0 (correct!)
3x + 9 - 7x + 7 = 0 (apply the distributive property to eliminate parenthesis)
-4x + 16 = 0 (collect terms)
-4x + 16 - 16 = 0 - 16 (subtract 16 from both sides)
-4x = -16 (collect terms)
-4x/-4 = -16/-4 (divide both sides by -4 to isolate the variable)
x = 4 (solution)
______
Check
3(x + 3) - 7(x - 1) = 0 (your statement)
3(4 + 3) - 7(4 - 1) = 0 (substitute the value of "x")
3(7) - 7(3) =0 (simplify within parenthesis)
21 - 21 = 0 (carry out multiplication)
0 = 0 (correct!)