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Algebra Level 1

Simplify 12 x 3 3 ( 2 x 3 + 4 x 1 ) 5 x + 7 12x^3 - 3 (2x^3 +4x-1) - 5x + 7

6x^3 -17x +10 5x^2 +17x +11 6x^3 -17x -10 6x^3 +17x -10

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1 solution

12 x 3 3 ( 2 x 3 + 4 x 1 ) 5 x + 7 12x^3-3(2x^3+4x-1)-5x+7

= 12 x 3 ( 6 x 3 + 12 x 3 ) 5 x + 7 =12x^3-(6x^3+12x-3)-5x+7

= 12 x 3 6 x 3 12 x + 3 5 x + 7 =12x^3-6x^3-12x+3-5x+7

= 12 x 3 6 x 3 12 x 5 x + 3 + 7 =12x^3-6x^3-12x-5x+3+7

= 6 x 3 17 x + 10 =\boxed{6x^3-17x+10}

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