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Simplifying 0.2x + 3.8 = 0.1x + 2.2 Reorder the terms: 3.8 + 0.2x = 0.1x + 2.2 Reorder the terms: 3.8 + 0.2x = 2.2 + 0.1x Solving 3.8 + 0.2x = 2.2 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 3.8 + 0.2x + -0.1x = 2.2 + 0.1x + -0.1x Combine like terms: 0.2x + -0.1x = 0.1x 3.8 + 0.1x = 2.2 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 3.8 + 0.1x = 2.2 + 0.0 3.8 + 0.1x = 2.2 Add '-3.8' to each side of the equation. 3.8 + -3.8 + 0.1x = 2.2 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 0.1x = 2.2 + -3.8 0.1x = 2.2 + -3.8 Combine like terms: 2.2 + -3.8 = -1.6 0.1x = -1.6 Divide each side by '0.1'. x = -16 Simplifying x = -16
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