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Simplifying 0.2x + 1.1 = 0.8x + -0.1 Reorder the terms: 1.1 + 0.2x = 0.8x + -0.1 Reorder the terms: 1.1 + 0.2x = -0.1 + 0.8x Solving 1.1 + 0.2x = -0.1 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 1.1 + 0.2x + -0.8x = -0.1 + 0.8x + -0.8x Combine like terms: 0.2x + -0.8x = -0.6x 1.1 + -0.6x = -0.1 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 1.1 + -0.6x = -0.1 + 0.0 1.1 + -0.6x = -0.1 Add '-1.1' to each side of the equation. 1.1 + -1.1 + -0.6x = -0.1 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + -0.6x = -0.1 + -1.1 -0.6x = -0.1 + -1.1 Combine like terms: -0.1 + -1.1 = -1.2 -0.6x = -1.2 Divide each side by '-0.6'. x = 2 Simplifying x = 2
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