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Simplifying 0.16x + 20 = 0.13x + 35 Reorder the terms: 20 + 0.16x = 0.13x + 35 Reorder the terms: 20 + 0.16x = 35 + 0.13x Solving 20 + 0.16x = 35 + 0.13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.13x' to each side of the equation. 20 + 0.16x + -0.13x = 35 + 0.13x + -0.13x Combine like terms: 0.16x + -0.13x = 0.03x 20 + 0.03x = 35 + 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 20 + 0.03x = 35 + 0.00 20 + 0.03x = 35 Add '-20' to each side of the equation. 20 + -20 + 0.03x = 35 + -20 Combine like terms: 20 + -20 = 0 0 + 0.03x = 35 + -20 0.03x = 35 + -20 Combine like terms: 35 + -20 = 15 0.03x = 15 Divide each side by '0.03'. x = 500 Simplifying x = 500
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