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Simplifying 0.2x + 0.4 = 0.7x + -3.1 Reorder the terms: 0.4 + 0.2x = 0.7x + -3.1 Reorder the terms: 0.4 + 0.2x = -3.1 + 0.7x Solving 0.4 + 0.2x = -3.1 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 0.4 + 0.2x + -0.7x = -3.1 + 0.7x + -0.7x Combine like terms: 0.2x + -0.7x = -0.5x 0.4 + -0.5x = -3.1 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 0.4 + -0.5x = -3.1 + 0.0 0.4 + -0.5x = -3.1 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.5x = -3.1 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.5x = -3.1 + -0.4 -0.5x = -3.1 + -0.4 Combine like terms: -3.1 + -0.4 = -3.5 -0.5x = -3.5 Divide each side by '-0.5'. x = 7 Simplifying x = 7
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