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Simplifying -52 + -3x = 5x + 23 Reorder the terms: -52 + -3x = 23 + 5x Solving -52 + -3x = 23 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -52 + -3x + -5x = 23 + 5x + -5x Combine like terms: -3x + -5x = -8x -52 + -8x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 -52 + -8x = 23 + 0 -52 + -8x = 23 Add '52' to each side of the equation. -52 + 52 + -8x = 23 + 52 Combine like terms: -52 + 52 = 0 0 + -8x = 23 + 52 -8x = 23 + 52 Combine like terms: 23 + 52 = 75 -8x = 75 Divide each side by '-8'. x = -9.375 Simplifying x = -9.375
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