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Simplifying x2 + 9 + 5x = x2 + 4 + -5 Reorder the terms: 9 + 5x + x2 = x2 + 4 + -5 Reorder the terms: 9 + 5x + x2 = 4 + -5 + x2 Combine like terms: 4 + -5 = -1 9 + 5x + x2 = -1 + x2 Add '-1x2' to each side of the equation. 9 + 5x + x2 + -1x2 = -1 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 5x + 0 = -1 + x2 + -1x2 9 + 5x = -1 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 5x = -1 + 0 9 + 5x = -1 Solving 9 + 5x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = -1 + -9 5x = -1 + -9 Combine like terms: -1 + -9 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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