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Simplifying X(3X + 5) + -2 = X(3X + -8) + X Reorder the terms: X(5 + 3X) + -2 = X(3X + -8) + X (5 * X + 3X * X) + -2 = X(3X + -8) + X (5X + 3X2) + -2 = X(3X + -8) + X Reorder the terms: -2 + 5X + 3X2 = X(3X + -8) + X Reorder the terms: -2 + 5X + 3X2 = X(-8 + 3X) + X -2 + 5X + 3X2 = (-8 * X + 3X * X) + X -2 + 5X + 3X2 = (-8X + 3X2) + X Reorder the terms: -2 + 5X + 3X2 = -8X + X + 3X2 Combine like terms: -8X + X = -7X -2 + 5X + 3X2 = -7X + 3X2 Add '-3X2' to each side of the equation. -2 + 5X + 3X2 + -3X2 = -7X + 3X2 + -3X2 Combine like terms: 3X2 + -3X2 = 0 -2 + 5X + 0 = -7X + 3X2 + -3X2 -2 + 5X = -7X + 3X2 + -3X2 Combine like terms: 3X2 + -3X2 = 0 -2 + 5X = -7X + 0 -2 + 5X = -7X Solving -2 + 5X = -7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7X' to each side of the equation. -2 + 5X + 7X = -7X + 7X Combine like terms: 5X + 7X = 12X -2 + 12X = -7X + 7X Combine like terms: -7X + 7X = 0 -2 + 12X = 0 Add '2' to each side of the equation. -2 + 2 + 12X = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 12X = 0 + 2 12X = 0 + 2 Combine like terms: 0 + 2 = 2 12X = 2 Divide each side by '12'. X = 0.1666666667 Simplifying X = 0.1666666667
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