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Simplifying 0.33x + 0.4 = 0.2x + -0.4 Reorder the terms: 0.4 + 0.33x = 0.2x + -0.4 Reorder the terms: 0.4 + 0.33x = -0.4 + 0.2x Solving 0.4 + 0.33x = -0.4 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.4 + 0.33x + -0.2x = -0.4 + 0.2x + -0.2x Combine like terms: 0.33x + -0.2x = 0.13x 0.4 + 0.13x = -0.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.4 + 0.13x = -0.4 + 0.0 0.4 + 0.13x = -0.4 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.13x = -0.4 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.13x = -0.4 + -0.4 0.13x = -0.4 + -0.4 Combine like terms: -0.4 + -0.4 = -0.8 0.13x = -0.8 Divide each side by '0.13'. x = -6.153846154 Simplifying x = -6.153846154
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