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Simplifying x2 + 9x + 8 = x2 + 7x + 12 Reorder the terms: 8 + 9x + x2 = x2 + 7x + 12 Reorder the terms: 8 + 9x + x2 = 12 + 7x + x2 Add '-1x2' to each side of the equation. 8 + 9x + x2 + -1x2 = 12 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + 9x + 0 = 12 + 7x + x2 + -1x2 8 + 9x = 12 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + 9x = 12 + 7x + 0 8 + 9x = 12 + 7x Solving 8 + 9x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 9x + -7x = 12 + 7x + -7x Combine like terms: 9x + -7x = 2x 8 + 2x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 2x = 12 + 0 8 + 2x = 12 Add '-8' to each side of the equation. 8 + -8 + 2x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 12 + -8 2x = 12 + -8 Combine like terms: 12 + -8 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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