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Simplifying 3x + -52 = -2x + 38 Reorder the terms: -52 + 3x = -2x + 38 Reorder the terms: -52 + 3x = 38 + -2x Solving -52 + 3x = 38 + -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 + 3x + 2x = 38 + -2x + 2x Combine like terms: 3x + 2x = 5x -52 + 5x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 -52 + 5x = 38 + 0 -52 + 5x = 38 Add '52' to each side of the equation. -52 + 52 + 5x = 38 + 52 Combine like terms: -52 + 52 = 0 0 + 5x = 38 + 52 5x = 38 + 52 Combine like terms: 38 + 52 = 90 5x = 90 Divide each side by '5'. x = 18 Simplifying x = 18
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