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Simplifying 0.10x + 0.20(60 + -1x) = 10.2 0.10x + (60 * 0.20 + -1x * 0.20) = 10.2 0.10x + (12 + -0.2x) = 10.2 Reorder the terms: 12 + 0.10x + -0.2x = 10.2 Combine like terms: 0.10x + -0.2x = -0.1x 12 + -0.1x = 10.2 Solving 12 + -0.1x = 10.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -0.1x = 10.2 + -12 Combine like terms: 12 + -12 = 0 0 + -0.1x = 10.2 + -12 -0.1x = 10.2 + -12 Combine like terms: 10.2 + -12 = -1.8 -0.1x = -1.8 Divide each side by '-0.1'. x = 18 Simplifying x = 18
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