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Simplifying 0.18x + 35 = 0.12x + 45 Reorder the terms: 35 + 0.18x = 0.12x + 45 Reorder the terms: 35 + 0.18x = 45 + 0.12x Solving 35 + 0.18x = 45 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 35 + 0.18x + -0.12x = 45 + 0.12x + -0.12x Combine like terms: 0.18x + -0.12x = 0.06x 35 + 0.06x = 45 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 35 + 0.06x = 45 + 0.00 35 + 0.06x = 45 Add '-35' to each side of the equation. 35 + -35 + 0.06x = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 0.06x = 45 + -35 0.06x = 45 + -35 Combine like terms: 45 + -35 = 10 0.06x = 10 Divide each side by '0.06'. x = 166.6666667 Simplifying x = 166.6666667
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