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Simplifying 2.1x + 1.5x + -4.6 = 2.2 Reorder the terms: -4.6 + 2.1x + 1.5x = 2.2 Combine like terms: 2.1x + 1.5x = 3.6x -4.6 + 3.6x = 2.2 Solving -4.6 + 3.6x = 2.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.6' to each side of the equation. -4.6 + 4.6 + 3.6x = 2.2 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 3.6x = 2.2 + 4.6 3.6x = 2.2 + 4.6 Combine like terms: 2.2 + 4.6 = 6.8 3.6x = 6.8 Divide each side by '3.6'. x = 1.888888889 Simplifying x = 1.888888889
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