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Simplifying X + -3(5X + -4) + 2(X + 7) = 0 Reorder the terms: X + -3(-4 + 5X) + 2(X + 7) = 0 X + (-4 * -3 + 5X * -3) + 2(X + 7) = 0 X + (12 + -15X) + 2(X + 7) = 0 Reorder the terms: X + 12 + -15X + 2(7 + X) = 0 X + 12 + -15X + (7 * 2 + X * 2) = 0 X + 12 + -15X + (14 + 2X) = 0 Reorder the terms: 12 + 14 + X + -15X + 2X = 0 Combine like terms: 12 + 14 = 26 26 + X + -15X + 2X = 0 Combine like terms: X + -15X = -14X 26 + -14X + 2X = 0 Combine like terms: -14X + 2X = -12X 26 + -12X = 0 Solving 26 + -12X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -12X = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -12X = 0 + -26 -12X = 0 + -26 Combine like terms: 0 + -26 = -26 -12X = -26 Divide each side by '-12'. X = 2.166666667 Simplifying X = 2.166666667
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