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Simplifying 7x2 + 5 = 3x2 + 1 Reorder the terms: 5 + 7x2 = 3x2 + 1 Reorder the terms: 5 + 7x2 = 1 + 3x2 Solving 5 + 7x2 = 1 + 3x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x2' to each side of the equation. 5 + 7x2 + -3x2 = 1 + 3x2 + -3x2 Combine like terms: 7x2 + -3x2 = 4x2 5 + 4x2 = 1 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 5 + 4x2 = 1 + 0 5 + 4x2 = 1 Add '-5' to each side of the equation. 5 + -5 + 4x2 = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 4x2 = 1 + -5 4x2 = 1 + -5 Combine like terms: 1 + -5 = -4 4x2 = -4 Divide each side by '4'. x2 = -1 Simplifying x2 = -1 Reorder the terms: 1 + x2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + x2 = 0 The solution to this equation could not be determined.
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