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Simplifying -54 + 8x = -2x + 46 Reorder the terms: -54 + 8x = 46 + -2x Solving -54 + 8x = 46 + -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. -54 + 8x + 2x = 46 + -2x + 2x Combine like terms: 8x + 2x = 10x -54 + 10x = 46 + -2x + 2x Combine like terms: -2x + 2x = 0 -54 + 10x = 46 + 0 -54 + 10x = 46 Add '54' to each side of the equation. -54 + 54 + 10x = 46 + 54 Combine like terms: -54 + 54 = 0 0 + 10x = 46 + 54 10x = 46 + 54 Combine like terms: 46 + 54 = 100 10x = 100 Divide each side by '10'. x = 10 Simplifying x = 10
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