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Simplifying -2x + 8 = -52 + 3x Reorder the terms: 8 + -2x = -52 + 3x Solving 8 + -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. 8 + -2x + -3x = -52 + 3x + -3x Combine like terms: -2x + -3x = -5x 8 + -5x = -52 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -5x = -52 + 0 8 + -5x = -52 Add '-8' to each side of the equation. 8 + -8 + -5x = -52 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -52 + -8 -5x = -52 + -8 Combine like terms: -52 + -8 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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