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Simplifying -83 + 8x = -4x + 97 Reorder the terms: -83 + 8x = 97 + -4x Solving -83 + 8x = 97 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -83 + 8x + 4x = 97 + -4x + 4x Combine like terms: 8x + 4x = 12x -83 + 12x = 97 + -4x + 4x Combine like terms: -4x + 4x = 0 -83 + 12x = 97 + 0 -83 + 12x = 97 Add '83' to each side of the equation. -83 + 83 + 12x = 97 + 83 Combine like terms: -83 + 83 = 0 0 + 12x = 97 + 83 12x = 97 + 83 Combine like terms: 97 + 83 = 180 12x = 180 Divide each side by '12'. x = 15 Simplifying x = 15
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