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Simplifying [x2] + 12x + 36 = [x2] + 4x + 4 x2 + 12x + 36 = [x2] + 4x + 4 Reorder the terms: 36 + 12x + x2 = [x2] + 4x + 4 36 + 12x + x2 = x2 + 4x + 4 Reorder the terms: 36 + 12x + x2 = 4 + 4x + x2 Add '-1x2' to each side of the equation. 36 + 12x + x2 + -1x2 = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 36 + 12x + 0 = 4 + 4x + x2 + -1x2 36 + 12x = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 36 + 12x = 4 + 4x + 0 36 + 12x = 4 + 4x Solving 36 + 12x = 4 + 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. 36 + 12x + -4x = 4 + 4x + -4x Combine like terms: 12x + -4x = 8x 36 + 8x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + 8x = 4 + 0 36 + 8x = 4 Add '-36' to each side of the equation. 36 + -36 + 8x = 4 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = 4 + -36 8x = 4 + -36 Combine like terms: 4 + -36 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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