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Simplifying -52 + 8x = 11x + 23 Reorder the terms: -52 + 8x = 23 + 11x Solving -52 + 8x = 23 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -52 + 8x + -11x = 23 + 11x + -11x Combine like terms: 8x + -11x = -3x -52 + -3x = 23 + 11x + -11x Combine like terms: 11x + -11x = 0 -52 + -3x = 23 + 0 -52 + -3x = 23 Add '52' to each side of the equation. -52 + 52 + -3x = 23 + 52 Combine like terms: -52 + 52 = 0 0 + -3x = 23 + 52 -3x = 23 + 52 Combine like terms: 23 + 52 = 75 -3x = 75 Divide each side by '-3'. x = -25 Simplifying x = -25
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