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Simplifying 2x + -74 = -10x + 82 Reorder the terms: -74 + 2x = -10x + 82 Reorder the terms: -74 + 2x = 82 + -10x Solving -74 + 2x = 82 + -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. -74 + 2x + 10x = 82 + -10x + 10x Combine like terms: 2x + 10x = 12x -74 + 12x = 82 + -10x + 10x Combine like terms: -10x + 10x = 0 -74 + 12x = 82 + 0 -74 + 12x = 82 Add '74' to each side of the equation. -74 + 74 + 12x = 82 + 74 Combine like terms: -74 + 74 = 0 0 + 12x = 82 + 74 12x = 82 + 74 Combine like terms: 82 + 74 = 156 12x = 156 Divide each side by '12'. x = 13 Simplifying x = 13
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