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Simplifying 0.15x + 35 = 0.45x + 20 Reorder the terms: 35 + 0.15x = 0.45x + 20 Reorder the terms: 35 + 0.15x = 20 + 0.45x Solving 35 + 0.15x = 20 + 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 35 + 0.15x + -0.45x = 20 + 0.45x + -0.45x Combine like terms: 0.15x + -0.45x = -0.3x 35 + -0.3x = 20 + 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 35 + -0.3x = 20 + 0.00 35 + -0.3x = 20 Add '-35' to each side of the equation. 35 + -35 + -0.3x = 20 + -35 Combine like terms: 35 + -35 = 0 0 + -0.3x = 20 + -35 -0.3x = 20 + -35 Combine like terms: 20 + -35 = -15 -0.3x = -15 Divide each side by '-0.3'. x = 50 Simplifying x = 50
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