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Simplifying 2x + -52 = -5x + 53 Reorder the terms: -52 + 2x = -5x + 53 Reorder the terms: -52 + 2x = 53 + -5x Solving -52 + 2x = 53 + -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 + 2x + 5x = 53 + -5x + 5x Combine like terms: 2x + 5x = 7x -52 + 7x = 53 + -5x + 5x Combine like terms: -5x + 5x = 0 -52 + 7x = 53 + 0 -52 + 7x = 53 Add '52' to each side of the equation. -52 + 52 + 7x = 53 + 52 Combine like terms: -52 + 52 = 0 0 + 7x = 53 + 52 7x = 53 + 52 Combine like terms: 53 + 52 = 105 7x = 105 Divide each side by '7'. x = 15 Simplifying x = 15
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