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Simplifying 4.6x + -46 = 2.1x + 9 Reorder the terms: -46 + 4.6x = 2.1x + 9 Reorder the terms: -46 + 4.6x = 9 + 2.1x Solving -46 + 4.6x = 9 + 2.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.1x' to each side of the equation. -46 + 4.6x + -2.1x = 9 + 2.1x + -2.1x Combine like terms: 4.6x + -2.1x = 2.5x -46 + 2.5x = 9 + 2.1x + -2.1x Combine like terms: 2.1x + -2.1x = 0.0 -46 + 2.5x = 9 + 0.0 -46 + 2.5x = 9 Add '46' to each side of the equation. -46 + 46 + 2.5x = 9 + 46 Combine like terms: -46 + 46 = 0 0 + 2.5x = 9 + 46 2.5x = 9 + 46 Combine like terms: 9 + 46 = 55 2.5x = 55 Divide each side by '2.5'. x = 22 Simplifying x = 22
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