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Simplifying -54 + -2x = 46 + -6x Solving -54 + -2x = 46 + -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. -54 + -2x + 6x = 46 + -6x + 6x Combine like terms: -2x + 6x = 4x -54 + 4x = 46 + -6x + 6x Combine like terms: -6x + 6x = 0 -54 + 4x = 46 + 0 -54 + 4x = 46 Add '54' to each side of the equation. -54 + 54 + 4x = 46 + 54 Combine like terms: -54 + 54 = 0 0 + 4x = 46 + 54 4x = 46 + 54 Combine like terms: 46 + 54 = 100 4x = 100 Divide each side by '4'. x = 25 Simplifying x = 25
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