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