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Simplifying 12x2 + 53 = 10x2 + 3 Reorder the terms: 53 + 12x2 = 10x2 + 3 Reorder the terms: 53 + 12x2 = 3 + 10x2 Solving 53 + 12x2 = 3 + 10x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x2' to each side of the equation. 53 + 12x2 + -10x2 = 3 + 10x2 + -10x2 Combine like terms: 12x2 + -10x2 = 2x2 53 + 2x2 = 3 + 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 53 + 2x2 = 3 + 0 53 + 2x2 = 3 Add '-53' to each side of the equation. 53 + -53 + 2x2 = 3 + -53 Combine like terms: 53 + -53 = 0 0 + 2x2 = 3 + -53 2x2 = 3 + -53 Combine like terms: 3 + -53 = -50 2x2 = -50 Divide each side by '2'. x2 = -25 Simplifying x2 = -25 Reorder the terms: 25 + x2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + x2 = 0 The solution to this equation could not be determined.
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