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Simplifying (4X + -3)(4X + 3) + 2X(3 + -8X) = 7X + -2 Reorder the terms: (-3 + 4X)(4X + 3) + 2X(3 + -8X) = 7X + -2 Reorder the terms: (-3 + 4X)(3 + 4X) + 2X(3 + -8X) = 7X + -2 Multiply (-3 + 4X) * (3 + 4X) (-3(3 + 4X) + 4X * (3 + 4X)) + 2X(3 + -8X) = 7X + -2 ((3 * -3 + 4X * -3) + 4X * (3 + 4X)) + 2X(3 + -8X) = 7X + -2 ((-9 + -12X) + 4X * (3 + 4X)) + 2X(3 + -8X) = 7X + -2 (-9 + -12X + (3 * 4X + 4X * 4X)) + 2X(3 + -8X) = 7X + -2 (-9 + -12X + (12X + 16X2)) + 2X(3 + -8X) = 7X + -2 Combine like terms: -12X + 12X = 0 (-9 + 0 + 16X2) + 2X(3 + -8X) = 7X + -2 (-9 + 16X2) + 2X(3 + -8X) = 7X + -2 -9 + 16X2 + (3 * 2X + -8X * 2X) = 7X + -2 -9 + 16X2 + (6X + -16X2) = 7X + -2 Reorder the terms: -9 + 6X + 16X2 + -16X2 = 7X + -2 Combine like terms: 16X2 + -16X2 = 0 -9 + 6X + 0 = 7X + -2 -9 + 6X = 7X + -2 Reorder the terms: -9 + 6X = -2 + 7X Solving -9 + 6X = -2 + 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. -9 + 6X + -7X = -2 + 7X + -7X Combine like terms: 6X + -7X = -1X -9 + -1X = -2 + 7X + -7X Combine like terms: 7X + -7X = 0 -9 + -1X = -2 + 0 -9 + -1X = -2 Add '9' to each side of the equation. -9 + 9 + -1X = -2 + 9 Combine like terms: -9 + 9 = 0 0 + -1X = -2 + 9 -1X = -2 + 9 Combine like terms: -2 + 9 = 7 -1X = 7 Divide each side by '-1'. X = -7 Simplifying X = -7
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