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Simplifying -83 + -10x = -15x + 82 Reorder the terms: -83 + -10x = 82 + -15x Solving -83 + -10x = 82 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -83 + -10x + 15x = 82 + -15x + 15x Combine like terms: -10x + 15x = 5x -83 + 5x = 82 + -15x + 15x Combine like terms: -15x + 15x = 0 -83 + 5x = 82 + 0 -83 + 5x = 82 Add '83' to each side of the equation. -83 + 83 + 5x = 82 + 83 Combine like terms: -83 + 83 = 0 0 + 5x = 82 + 83 5x = 82 + 83 Combine like terms: 82 + 83 = 165 5x = 165 Divide each side by '5'. x = 33 Simplifying x = 33
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