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Simplifying (x + 4)(x + 4) + 1 = x * x + -7 Reorder the terms: (4 + x)(x + 4) + 1 = x * x + -7 Reorder the terms: (4 + x)(4 + x) + 1 = x * x + -7 Multiply (4 + x) * (4 + x) (4(4 + x) + x(4 + x)) + 1 = x * x + -7 ((4 * 4 + x * 4) + x(4 + x)) + 1 = x * x + -7 ((16 + 4x) + x(4 + x)) + 1 = x * x + -7 (16 + 4x + (4 * x + x * x)) + 1 = x * x + -7 (16 + 4x + (4x + x2)) + 1 = x * x + -7 Combine like terms: 4x + 4x = 8x (16 + 8x + x2) + 1 = x * x + -7 Reorder the terms: 16 + 1 + 8x + x2 = x * x + -7 Combine like terms: 16 + 1 = 17 17 + 8x + x2 = x * x + -7 Multiply x * x 17 + 8x + x2 = x2 + -7 Reorder the terms: 17 + 8x + x2 = -7 + x2 Add '-1x2' to each side of the equation. 17 + 8x + x2 + -1x2 = -7 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 17 + 8x + 0 = -7 + x2 + -1x2 17 + 8x = -7 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 17 + 8x = -7 + 0 17 + 8x = -7 Solving 17 + 8x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 8x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + 8x = -7 + -17 8x = -7 + -17 Combine like terms: -7 + -17 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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