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Simplifying -7x + -46 = -12x + 54 Reorder the terms: -46 + -7x = -12x + 54 Reorder the terms: -46 + -7x = 54 + -12x Solving -46 + -7x = 54 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -46 + -7x + 12x = 54 + -12x + 12x Combine like terms: -7x + 12x = 5x -46 + 5x = 54 + -12x + 12x Combine like terms: -12x + 12x = 0 -46 + 5x = 54 + 0 -46 + 5x = 54 Add '46' to each side of the equation. -46 + 46 + 5x = 54 + 46 Combine like terms: -46 + 46 = 0 0 + 5x = 54 + 46 5x = 54 + 46 Combine like terms: 54 + 46 = 100 5x = 100 Divide each side by '5'. x = 20 Simplifying x = 20
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