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Simplifying 8x + -97 = -10x + -12 + 13x Reorder the terms: -97 + 8x = -10x + -12 + 13x Reorder the terms: -97 + 8x = -12 + -10x + 13x Combine like terms: -10x + 13x = 3x -97 + 8x = -12 + 3x Solving -97 + 8x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -97 + 8x + -3x = -12 + 3x + -3x Combine like terms: 8x + -3x = 5x -97 + 5x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -97 + 5x = -12 + 0 -97 + 5x = -12 Add '97' to each side of the equation. -97 + 97 + 5x = -12 + 97 Combine like terms: -97 + 97 = 0 0 + 5x = -12 + 97 5x = -12 + 97 Combine like terms: -12 + 97 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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