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Simplifying -46 + 2x = -3x + 84 Reorder the terms: -46 + 2x = 84 + -3x Solving -46 + 2x = 84 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -46 + 2x + 3x = 84 + -3x + 3x Combine like terms: 2x + 3x = 5x -46 + 5x = 84 + -3x + 3x Combine like terms: -3x + 3x = 0 -46 + 5x = 84 + 0 -46 + 5x = 84 Add '46' to each side of the equation. -46 + 46 + 5x = 84 + 46 Combine like terms: -46 + 46 = 0 0 + 5x = 84 + 46 5x = 84 + 46 Combine like terms: 84 + 46 = 130 5x = 130 Divide each side by '5'. x = 26 Simplifying x = 26
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