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Simplifying 5x2 + 37 = 3x2 + -47 Reorder the terms: 37 + 5x2 = 3x2 + -47 Reorder the terms: 37 + 5x2 = -47 + 3x2 Solving 37 + 5x2 = -47 + 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. 37 + 5x2 + -3x2 = -47 + 3x2 + -3x2 Combine like terms: 5x2 + -3x2 = 2x2 37 + 2x2 = -47 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 37 + 2x2 = -47 + 0 37 + 2x2 = -47 Add '-37' to each side of the equation. 37 + -37 + 2x2 = -47 + -37 Combine like terms: 37 + -37 = 0 0 + 2x2 = -47 + -37 2x2 = -47 + -37 Combine like terms: -47 + -37 = -84 2x2 = -84 Divide each side by '2'. x2 = -42 Simplifying x2 = -42 Reorder the terms: 42 + x2 = -42 + 42 Combine like terms: -42 + 42 = 0 42 + x2 = 0 The solution to this equation could not be determined.
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