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Simplifying (6X + -4)(X + 3) = 2X(3X + 4) Reorder the terms: (-4 + 6X)(X + 3) = 2X(3X + 4) Reorder the terms: (-4 + 6X)(3 + X) = 2X(3X + 4) Multiply (-4 + 6X) * (3 + X) (-4(3 + X) + 6X * (3 + X)) = 2X(3X + 4) ((3 * -4 + X * -4) + 6X * (3 + X)) = 2X(3X + 4) ((-12 + -4X) + 6X * (3 + X)) = 2X(3X + 4) (-12 + -4X + (3 * 6X + X * 6X)) = 2X(3X + 4) (-12 + -4X + (18X + 6X2)) = 2X(3X + 4) Combine like terms: -4X + 18X = 14X (-12 + 14X + 6X2) = 2X(3X + 4) Reorder the terms: -12 + 14X + 6X2 = 2X(4 + 3X) -12 + 14X + 6X2 = (4 * 2X + 3X * 2X) -12 + 14X + 6X2 = (8X + 6X2) Add '-6X2' to each side of the equation. -12 + 14X + 6X2 + -6X2 = 8X + 6X2 + -6X2 Combine like terms: 6X2 + -6X2 = 0 -12 + 14X + 0 = 8X + 6X2 + -6X2 -12 + 14X = 8X + 6X2 + -6X2 Combine like terms: 6X2 + -6X2 = 0 -12 + 14X = 8X + 0 -12 + 14X = 8X Solving -12 + 14X = 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. -12 + 14X + -8X = 8X + -8X Combine like terms: 14X + -8X = 6X -12 + 6X = 8X + -8X Combine like terms: 8X + -8X = 0 -12 + 6X = 0 Add '12' to each side of the equation. -12 + 12 + 6X = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6X = 0 + 12 6X = 0 + 12 Combine like terms: 0 + 12 = 12 6X = 12 Divide each side by '6'. X = 2 Simplifying X = 2
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