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Simplifying 2.7x + -46 = 1.2x + 2 Reorder the terms: -46 + 2.7x = 1.2x + 2 Reorder the terms: -46 + 2.7x = 2 + 1.2x Solving -46 + 2.7x = 2 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -46 + 2.7x + -1.2x = 2 + 1.2x + -1.2x Combine like terms: 2.7x + -1.2x = 1.5x -46 + 1.5x = 2 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -46 + 1.5x = 2 + 0.0 -46 + 1.5x = 2 Add '46' to each side of the equation. -46 + 46 + 1.5x = 2 + 46 Combine like terms: -46 + 46 = 0 0 + 1.5x = 2 + 46 1.5x = 2 + 46 Combine like terms: 2 + 46 = 48 1.5x = 48 Divide each side by '1.5'. x = 32 Simplifying x = 32
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