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Simplifying -52 + -2x = 2x + 8 Reorder the terms: -52 + -2x = 8 + 2x Solving -52 + -2x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -52 + -2x + -2x = 8 + 2x + -2x Combine like terms: -2x + -2x = -4x -52 + -4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -52 + -4x = 8 + 0 -52 + -4x = 8 Add '52' to each side of the equation. -52 + 52 + -4x = 8 + 52 Combine like terms: -52 + 52 = 0 0 + -4x = 8 + 52 -4x = 8 + 52 Combine like terms: 8 + 52 = 60 -4x = 60 Divide each side by '-4'. x = -15 Simplifying x = -15
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