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Simplifying -2x + -2 = -52 + 3x Reorder the terms: -2 + -2x = -52 + 3x Solving -2 + -2x = -52 + 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. -2 + -2x + -3x = -52 + 3x + -3x Combine like terms: -2x + -3x = -5x -2 + -5x = -52 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -5x = -52 + 0 -2 + -5x = -52 Add '2' to each side of the equation. -2 + 2 + -5x = -52 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -52 + 2 -5x = -52 + 2 Combine like terms: -52 + 2 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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