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Simplifying x2 + 2x = x2 + -2x + -10 + 5x Reorder the terms: 2x + x2 = x2 + -2x + -10 + 5x Reorder the terms: 2x + x2 = -10 + -2x + 5x + x2 Combine like terms: -2x + 5x = 3x 2x + x2 = -10 + 3x + x2 Add '-1x2' to each side of the equation. 2x + x2 + -1x2 = -10 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x + 0 = -10 + 3x + x2 + -1x2 2x = -10 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x = -10 + 3x + 0 2x = -10 + 3x Solving 2x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2x + -3x = -10 + 3x + -3x Combine like terms: 2x + -3x = -1x -1x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -1x = -10 + 0 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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