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Simplifying x2 + 8x + 16 = 12x + x2 Reorder the terms: 16 + 8x + x2 = 12x + x2 Add '-1x2' to each side of the equation. 16 + 8x + x2 + -1x2 = 12x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 16 + 8x + 0 = 12x + x2 + -1x2 16 + 8x = 12x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 16 + 8x = 12x + 0 16 + 8x = 12x Solving 16 + 8x = 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. 16 + 8x + -12x = 12x + -12x Combine like terms: 8x + -12x = -4x 16 + -4x = 12x + -12x Combine like terms: 12x + -12x = 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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