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Simplifying 0.2x + 0.5(16 + -1x) = 3.8 0.2x + (16 * 0.5 + -1x * 0.5) = 3.8 0.2x + (8 + -0.5x) = 3.8 Reorder the terms: 8 + 0.2x + -0.5x = 3.8 Combine like terms: 0.2x + -0.5x = -0.3x 8 + -0.3x = 3.8 Solving 8 + -0.3x = 3.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -0.3x = 3.8 + -8 Combine like terms: 8 + -8 = 0 0 + -0.3x = 3.8 + -8 -0.3x = 3.8 + -8 Combine like terms: 3.8 + -8 = -4.2 -0.3x = -4.2 Divide each side by '-0.3'. x = 14 Simplifying x = 14
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