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Simplifying 0.1x + 0.2(30 + -1x) = 4.8 0.1x + (30 * 0.2 + -1x * 0.2) = 4.8 0.1x + (6 + -0.2x) = 4.8 Reorder the terms: 6 + 0.1x + -0.2x = 4.8 Combine like terms: 0.1x + -0.2x = -0.1x 6 + -0.1x = 4.8 Solving 6 + -0.1x = 4.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -0.1x = 4.8 + -6 Combine like terms: 6 + -6 = 0 0 + -0.1x = 4.8 + -6 -0.1x = 4.8 + -6 Combine like terms: 4.8 + -6 = -1.2 -0.1x = -1.2 Divide each side by '-0.1'. x = 12 Simplifying x = 12
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