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Simplifying 0.2x + 3.4 + 0.8x + -2.1 = 4.2 Reorder the terms: 3.4 + -2.1 + 0.2x + 0.8x = 4.2 Combine like terms: 3.4 + -2.1 = 1.3 1.3 + 0.2x + 0.8x = 4.2 Combine like terms: 0.2x + 0.8x = 1x 1.3 + 1x = 4.2 Solving 1.3 + 1x = 4.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3' to each side of the equation. 1.3 + -1.3 + 1x = 4.2 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + 1x = 4.2 + -1.3 1x = 4.2 + -1.3 Combine like terms: 4.2 + -1.3 = 2.9 1x = 2.9 Divide each side by '1'. x = 2.9 Simplifying x = 2.9
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