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Simplifying 0.16x + 0.80(6 + -1x) = 3.2 0.16x + (6 * 0.80 + -1x * 0.80) = 3.2 0.16x + (4.8 + -0.8x) = 3.2 Reorder the terms: 4.8 + 0.16x + -0.8x = 3.2 Combine like terms: 0.16x + -0.8x = -0.64x 4.8 + -0.64x = 3.2 Solving 4.8 + -0.64x = 3.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.8' to each side of the equation. 4.8 + -4.8 + -0.64x = 3.2 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -0.64x = 3.2 + -4.8 -0.64x = 3.2 + -4.8 Combine like terms: 3.2 + -4.8 = -1.6 -0.64x = -1.6 Divide each side by '-0.64'. x = 2.5 Simplifying x = 2.5
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