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Simplifying 0.2x + 0.5(13 + -1x) = 3.8 0.2x + (13 * 0.5 + -1x * 0.5) = 3.8 0.2x + (6.5 + -0.5x) = 3.8 Reorder the terms: 6.5 + 0.2x + -0.5x = 3.8 Combine like terms: 0.2x + -0.5x = -0.3x 6.5 + -0.3x = 3.8 Solving 6.5 + -0.3x = 3.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + -0.3x = 3.8 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -0.3x = 3.8 + -6.5 -0.3x = 3.8 + -6.5 Combine like terms: 3.8 + -6.5 = -2.7 -0.3x = -2.7 Divide each side by '-0.3'. x = 9 Simplifying x = 9
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