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Simplifying -52 + -6x = 3x + 38 Reorder the terms: -52 + -6x = 38 + 3x Solving -52 + -6x = 38 + 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. -52 + -6x + -3x = 38 + 3x + -3x Combine like terms: -6x + -3x = -9x -52 + -9x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 -52 + -9x = 38 + 0 -52 + -9x = 38 Add '52' to each side of the equation. -52 + 52 + -9x = 38 + 52 Combine like terms: -52 + 52 = 0 0 + -9x = 38 + 52 -9x = 38 + 52 Combine like terms: 38 + 52 = 90 -9x = 90 Divide each side by '-9'. x = -10 Simplifying x = -10
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