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Simplifying x2 + 9x + 18 = x2 + 5x + 6 Reorder the terms: 18 + 9x + x2 = x2 + 5x + 6 Reorder the terms: 18 + 9x + x2 = 6 + 5x + x2 Add '-1x2' to each side of the equation. 18 + 9x + x2 + -1x2 = 6 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + 9x + 0 = 6 + 5x + x2 + -1x2 18 + 9x = 6 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + 9x = 6 + 5x + 0 18 + 9x = 6 + 5x Solving 18 + 9x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 9x + -5x = 6 + 5x + -5x Combine like terms: 9x + -5x = 4x 18 + 4x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 4x = 6 + 0 18 + 4x = 6 Add '-18' to each side of the equation. 18 + -18 + 4x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 6 + -18 4x = 6 + -18 Combine like terms: 6 + -18 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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