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Simplifying -1x + -52 = -6x + 48 Reorder the terms: -52 + -1x = -6x + 48 Reorder the terms: -52 + -1x = 48 + -6x Solving -52 + -1x = 48 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -52 + -1x + 6x = 48 + -6x + 6x Combine like terms: -1x + 6x = 5x -52 + 5x = 48 + -6x + 6x Combine like terms: -6x + 6x = 0 -52 + 5x = 48 + 0 -52 + 5x = 48 Add '52' to each side of the equation. -52 + 52 + 5x = 48 + 52 Combine like terms: -52 + 52 = 0 0 + 5x = 48 + 52 5x = 48 + 52 Combine like terms: 48 + 52 = 100 5x = 100 Divide each side by '5'. x = 20 Simplifying x = 20
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