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Simplifying x2 + 8x = x2 + 6x + 8 Reorder the terms: 8x + x2 = x2 + 6x + 8 Reorder the terms: 8x + x2 = 8 + 6x + x2 Add '-1x2' to each side of the equation. 8x + x2 + -1x2 = 8 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8x + 0 = 8 + 6x + x2 + -1x2 8x = 8 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8x = 8 + 6x + 0 8x = 8 + 6x Solving 8x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8x + -6x = 8 + 6x + -6x Combine like terms: 8x + -6x = 2x 2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 2x = 8 + 0 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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