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Simplifying x2 + 6x + 9 = x2 + 4x Reorder the terms: 9 + 6x + x2 = x2 + 4x Reorder the terms: 9 + 6x + x2 = 4x + x2 Add '-1x2' to each side of the equation. 9 + 6x + x2 + -1x2 = 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 6x + 0 = 4x + x2 + -1x2 9 + 6x = 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 6x = 4x + 0 9 + 6x = 4x Solving 9 + 6x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 6x + -4x = 4x + -4x Combine like terms: 6x + -4x = 2x 9 + 2x = 4x + -4x Combine like terms: 4x + -4x = 0 9 + 2x = 0 Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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