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Simplifying 0.35x + 0.75(120 + x) = 0.85(120) 0.35x + (120 * 0.75 + x * 0.75) = 0.85(120) 0.35x + (90 + 0.75x) = 0.85(120) Reorder the terms: 90 + 0.35x + 0.75x = 0.85(120) Combine like terms: 0.35x + 0.75x = 1.1x 90 + 1.1x = 0.85(120) Multiply 0.85 * 120 90 + 1.1x = 102 Solving 90 + 1.1x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 1.1x = 102 + -90 Combine like terms: 90 + -90 = 0 0 + 1.1x = 102 + -90 1.1x = 102 + -90 Combine like terms: 102 + -90 = 12 1.1x = 12 Divide each side by '1.1'. x = 10.90909091 Simplifying x = 10.90909091
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