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Simplifying 0.2 + 0.5(13 + -1x) = 3.8 0.2 + (13 * 0.5 + -1x * 0.5) = 3.8 0.2 + (6.5 + -0.5x) = 3.8 Combine like terms: 0.2 + 6.5 = 6.7 6.7 + -0.5x = 3.8 Solving 6.7 + -0.5x = 3.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.7' to each side of the equation. 6.7 + -6.7 + -0.5x = 3.8 + -6.7 Combine like terms: 6.7 + -6.7 = 0.0 0.0 + -0.5x = 3.8 + -6.7 -0.5x = 3.8 + -6.7 Combine like terms: 3.8 + -6.7 = -2.9 -0.5x = -2.9 Divide each side by '-0.5'. x = 5.8 Simplifying x = 5.8
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