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Simplifying x * x + -1(x * x + 2x * 4 + (4 * 4)) = -4x Multiply x * x x2 + -1(x * x + 2x * 4 + (4 * 4)) = -4x Multiply x * x x2 + -1(x2 + 2x * 4 + (4 * 4)) = -4x Reorder the terms for easier multiplication: x2 + -1(x2 + 2 * 4x + (4 * 4)) = -4x Multiply 2 * 4 x2 + -1(x2 + 8x + (4 * 4)) = -4x Multiply 4 * 4 x2 + -1(x2 + 8x + (16)) = -4x x2 + -1(x2 + 8x + 16) = -4x Reorder the terms: x2 + -1(16 + 8x + x2) = -4x x2 + (16 * -1 + 8x * -1 + x2 * -1) = -4x x2 + (-16 + -8x + -1x2) = -4x Reorder the terms: -16 + -8x + x2 + -1x2 = -4x Combine like terms: x2 + -1x2 = 0 -16 + -8x + 0 = -4x -16 + -8x = -4x Solving -16 + -8x = -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. -16 + -8x + 4x = -4x + 4x Combine like terms: -8x + 4x = -4x -16 + -4x = -4x + 4x Combine like terms: -4x + 4x = 0 -16 + -4x = 0 Add '16' to each side of the equation. -16 + 16 + -4x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = 0 + 16 -4x = 0 + 16 Combine like terms: 0 + 16 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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