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Simplifying 4x2 + 4x + 1 + -4x2 + -4x + -1 = x2 + 12x + 36 + -1x2 Reorder the terms: 1 + -1 + 4x + -4x + 4x2 + -4x2 = x2 + 12x + 36 + -1x2 Combine like terms: 1 + -1 = 0 0 + 4x + -4x + 4x2 + -4x2 = x2 + 12x + 36 + -1x2 4x + -4x + 4x2 + -4x2 = x2 + 12x + 36 + -1x2 Combine like terms: 4x + -4x = 0 0 + 4x2 + -4x2 = x2 + 12x + 36 + -1x2 4x2 + -4x2 = x2 + 12x + 36 + -1x2 Combine like terms: 4x2 + -4x2 = 0 0 = x2 + 12x + 36 + -1x2 Reorder the terms: 0 = 36 + 12x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 36 + 12x + 0 0 = 36 + 12x Solving 0 = 36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 0 + -12x = 36 + 12x + -12x Remove the zero: -12x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 -12x = 36 + 0 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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