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Simplifying -2x + 8 = 52 + 2x Reorder the terms: 8 + -2x = 52 + 2x Solving 8 + -2x = 52 + 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. 8 + -2x + -2x = 52 + 2x + -2x Combine like terms: -2x + -2x = -4x 8 + -4x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -4x = 52 + 0 8 + -4x = 52 Add '-8' to each side of the equation. 8 + -8 + -4x = 52 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 52 + -8 -4x = 52 + -8 Combine like terms: 52 + -8 = 44 -4x = 44 Divide each side by '-4'. x = -11 Simplifying x = -11
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