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Simplifying x2 + 6 = -4x2 + 2 Reorder the terms: 6 + x2 = -4x2 + 2 Reorder the terms: 6 + x2 = 2 + -4x2 Solving 6 + x2 = 2 + -4x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x2' to each side of the equation. 6 + x2 + 4x2 = 2 + -4x2 + 4x2 Combine like terms: x2 + 4x2 = 5x2 6 + 5x2 = 2 + -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 6 + 5x2 = 2 + 0 6 + 5x2 = 2 Add '-6' to each side of the equation. 6 + -6 + 5x2 = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 5x2 = 2 + -6 5x2 = 2 + -6 Combine like terms: 2 + -6 = -4 5x2 = -4 Divide each side by '5'. x2 = -0.8 Simplifying x2 = -0.8 Reorder the terms: 0.8 + x2 = -0.8 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.8 + x2 = 0.0 The solution to this equation could not be determined.
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