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Simplifying 0.4x + 3.1 = 0.8x + -0.5 Reorder the terms: 3.1 + 0.4x = 0.8x + -0.5 Reorder the terms: 3.1 + 0.4x = -0.5 + 0.8x Solving 3.1 + 0.4x = -0.5 + 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. 3.1 + 0.4x + -0.8x = -0.5 + 0.8x + -0.8x Combine like terms: 0.4x + -0.8x = -0.4x 3.1 + -0.4x = -0.5 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 3.1 + -0.4x = -0.5 + 0.0 3.1 + -0.4x = -0.5 Add '-3.1' to each side of the equation. 3.1 + -3.1 + -0.4x = -0.5 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + -0.4x = -0.5 + -3.1 -0.4x = -0.5 + -3.1 Combine like terms: -0.5 + -3.1 = -3.6 -0.4x = -3.6 Divide each side by '-0.4'. x = 9 Simplifying x = 9
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