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Simplifying X + 16X2 + 3X + -4X2 + -2 = 4X(3X + -1) + 5 Reorder the terms: -2 + X + 3X + 16X2 + -4X2 = 4X(3X + -1) + 5 Combine like terms: X + 3X = 4X -2 + 4X + 16X2 + -4X2 = 4X(3X + -1) + 5 Combine like terms: 16X2 + -4X2 = 12X2 -2 + 4X + 12X2 = 4X(3X + -1) + 5 Reorder the terms: -2 + 4X + 12X2 = 4X(-1 + 3X) + 5 -2 + 4X + 12X2 = (-1 * 4X + 3X * 4X) + 5 -2 + 4X + 12X2 = (-4X + 12X2) + 5 Reorder the terms: -2 + 4X + 12X2 = 5 + -4X + 12X2 Add '-12X2' to each side of the equation. -2 + 4X + 12X2 + -12X2 = 5 + -4X + 12X2 + -12X2 Combine like terms: 12X2 + -12X2 = 0 -2 + 4X + 0 = 5 + -4X + 12X2 + -12X2 -2 + 4X = 5 + -4X + 12X2 + -12X2 Combine like terms: 12X2 + -12X2 = 0 -2 + 4X = 5 + -4X + 0 -2 + 4X = 5 + -4X Solving -2 + 4X = 5 + -4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4X' to each side of the equation. -2 + 4X + 4X = 5 + -4X + 4X Combine like terms: 4X + 4X = 8X -2 + 8X = 5 + -4X + 4X Combine like terms: -4X + 4X = 0 -2 + 8X = 5 + 0 -2 + 8X = 5 Add '2' to each side of the equation. -2 + 2 + 8X = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 8X = 5 + 2 8X = 5 + 2 Combine like terms: 5 + 2 = 7 8X = 7 Divide each side by '8'. X = 0.875 Simplifying X = 0.875
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