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Simplifying x2 + 5x + -6x + 2x = x2 + 6x Reorder the terms: 5x + -6x + 2x + x2 = x2 + 6x Combine like terms: 5x + -6x = -1x -1x + 2x + x2 = x2 + 6x Combine like terms: -1x + 2x = 1x 1x + x2 = x2 + 6x Reorder the terms: 1x + x2 = 6x + x2 Add '-1x2' to each side of the equation. 1x + x2 + -1x2 = 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1x + 0 = 6x + x2 + -1x2 1x = 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1x = 6x + 0 1x = 6x Solving 1x = 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. 1x + -6x = 6x + -6x Combine like terms: 1x + -6x = -5x -5x = 6x + -6x Combine like terms: 6x + -6x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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