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Simplifying x2 + -2x + 2 = x2 + -6x Reorder the terms: 2 + -2x + x2 = x2 + -6x Reorder the terms: 2 + -2x + x2 = -6x + x2 Add '-1x2' to each side of the equation. 2 + -2x + x2 + -1x2 = -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + -2x + 0 = -6x + x2 + -1x2 2 + -2x = -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + -2x = -6x + 0 2 + -2x = -6x Solving 2 + -2x = -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. 2 + -2x + 6x = -6x + 6x Combine like terms: -2x + 6x = 4x 2 + 4x = -6x + 6x Combine like terms: -6x + 6x = 0 2 + 4x = 0 Add '-2' to each side of the equation. 2 + -2 + 4x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 0 + -2 4x = 0 + -2 Combine like terms: 0 + -2 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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