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Simplifying 0.4x + 0.5 = 1.9 + -0.8x Reorder the terms: 0.5 + 0.4x = 1.9 + -0.8x Solving 0.5 + 0.4x = 1.9 + -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. 0.5 + 0.4x + 0.8x = 1.9 + -0.8x + 0.8x Combine like terms: 0.4x + 0.8x = 1.2x 0.5 + 1.2x = 1.9 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 0.5 + 1.2x = 1.9 + 0.0 0.5 + 1.2x = 1.9 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1.2x = 1.9 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.2x = 1.9 + -0.5 1.2x = 1.9 + -0.5 Combine like terms: 1.9 + -0.5 = 1.4 1.2x = 1.4 Divide each side by '1.2'. x = 1.166666667 Simplifying x = 1.166666667
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