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Simplifying 2x + -47 = -10x + 97 Reorder the terms: -47 + 2x = -10x + 97 Reorder the terms: -47 + 2x = 97 + -10x Solving -47 + 2x = 97 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -47 + 2x + 10x = 97 + -10x + 10x Combine like terms: 2x + 10x = 12x -47 + 12x = 97 + -10x + 10x Combine like terms: -10x + 10x = 0 -47 + 12x = 97 + 0 -47 + 12x = 97 Add '47' to each side of the equation. -47 + 47 + 12x = 97 + 47 Combine like terms: -47 + 47 = 0 0 + 12x = 97 + 47 12x = 97 + 47 Combine like terms: 97 + 47 = 144 12x = 144 Divide each side by '12'. x = 12 Simplifying x = 12
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