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Simplifying 4x2 + (4x2 + 16x + 16) = (8x2 + -32x + 16) Reorder the terms: 4x2 + (16 + 16x + 4x2) = (8x2 + -32x + 16) Remove parenthesis around (16 + 16x + 4x2) 4x2 + 16 + 16x + 4x2 = (8x2 + -32x + 16) Reorder the terms: 16 + 16x + 4x2 + 4x2 = (8x2 + -32x + 16) Combine like terms: 4x2 + 4x2 = 8x2 16 + 16x + 8x2 = (8x2 + -32x + 16) Reorder the terms: 16 + 16x + 8x2 = (16 + -32x + 8x2) Remove parenthesis around (16 + -32x + 8x2) 16 + 16x + 8x2 = 16 + -32x + 8x2 Add '-16' to each side of the equation. 16 + 16x + -16 + 8x2 = 16 + -32x + -16 + 8x2 Reorder the terms: 16 + -16 + 16x + 8x2 = 16 + -32x + -16 + 8x2 Combine like terms: 16 + -16 = 0 0 + 16x + 8x2 = 16 + -32x + -16 + 8x2 16x + 8x2 = 16 + -32x + -16 + 8x2 Reorder the terms: 16x + 8x2 = 16 + -16 + -32x + 8x2 Combine like terms: 16 + -16 = 0 16x + 8x2 = 0 + -32x + 8x2 16x + 8x2 = -32x + 8x2 Add '-8x2' to each side of the equation. 16x + 8x2 + -8x2 = -32x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 16x + 0 = -32x + 8x2 + -8x2 16x = -32x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 16x = -32x + 0 16x = -32x Solving 16x = -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 16x + 32x = -32x + 32x Combine like terms: 16x + 32x = 48x 48x = -32x + 32x Combine like terms: -32x + 32x = 0 48x = 0 Divide each side by '48'. x = 0 Simplifying x = 0
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