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Simplifying 0.5x + -0.34 = 0.38 + 0.40x Reorder the terms: -0.34 + 0.5x = 0.38 + 0.40x Solving -0.34 + 0.5x = 0.38 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. -0.34 + 0.5x + -0.40x = 0.38 + 0.40x + -0.40x Combine like terms: 0.5x + -0.40x = 0.1x -0.34 + 0.1x = 0.38 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 -0.34 + 0.1x = 0.38 + 0.00 -0.34 + 0.1x = 0.38 Add '0.34' to each side of the equation. -0.34 + 0.34 + 0.1x = 0.38 + 0.34 Combine like terms: -0.34 + 0.34 = 0.00 0.00 + 0.1x = 0.38 + 0.34 0.1x = 0.38 + 0.34 Combine like terms: 0.38 + 0.34 = 0.72 0.1x = 0.72 Divide each side by '0.1'. x = 7.2 Simplifying x = 7.2
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