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Simplifying 16x2 + -1(4x + -2)(4x + 3) = -22 Reorder the terms: 16x2 + -1(-2 + 4x)(4x + 3) = -22 Reorder the terms: 16x2 + -1(-2 + 4x)(3 + 4x) = -22 Multiply (-2 + 4x) * (3 + 4x) 16x2 + -1(-2(3 + 4x) + 4x * (3 + 4x)) = -22 16x2 + -1((3 * -2 + 4x * -2) + 4x * (3 + 4x)) = -22 16x2 + -1((-6 + -8x) + 4x * (3 + 4x)) = -22 16x2 + -1(-6 + -8x + (3 * 4x + 4x * 4x)) = -22 16x2 + -1(-6 + -8x + (12x + 16x2)) = -22 Combine like terms: -8x + 12x = 4x 16x2 + -1(-6 + 4x + 16x2) = -22 16x2 + (-6 * -1 + 4x * -1 + 16x2 * -1) = -22 16x2 + (6 + -4x + -16x2) = -22 Reorder the terms: 6 + -4x + 16x2 + -16x2 = -22 Combine like terms: 16x2 + -16x2 = 0 6 + -4x + 0 = -22 6 + -4x = -22 Solving 6 + -4x = -22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -4x = -22 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -22 + -6 -4x = -22 + -6 Combine like terms: -22 + -6 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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