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Simplifying 0.2x + 0.8(35 + -1x) = 16.6 0.2x + (35 * 0.8 + -1x * 0.8) = 16.6 0.2x + (28 + -0.8x) = 16.6 Reorder the terms: 28 + 0.2x + -0.8x = 16.6 Combine like terms: 0.2x + -0.8x = -0.6x 28 + -0.6x = 16.6 Solving 28 + -0.6x = 16.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -0.6x = 16.6 + -28 Combine like terms: 28 + -28 = 0 0 + -0.6x = 16.6 + -28 -0.6x = 16.6 + -28 Combine like terms: 16.6 + -28 = -11.4 -0.6x = -11.4 Divide each side by '-0.6'. x = 19 Simplifying x = 19
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