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Simplifying 0.4x + 0.2 = 0.8x + -2.2 Reorder the terms: 0.2 + 0.4x = 0.8x + -2.2 Reorder the terms: 0.2 + 0.4x = -2.2 + 0.8x Solving 0.2 + 0.4x = -2.2 + 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. 0.2 + 0.4x + -0.8x = -2.2 + 0.8x + -0.8x Combine like terms: 0.4x + -0.8x = -0.4x 0.2 + -0.4x = -2.2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.2 + -0.4x = -2.2 + 0.0 0.2 + -0.4x = -2.2 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.4x = -2.2 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.4x = -2.2 + -0.2 -0.4x = -2.2 + -0.2 Combine like terms: -2.2 + -0.2 = -2.4 -0.4x = -2.4 Divide each side by '-0.4'. x = 6 Simplifying x = 6
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