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Simplifying 0.16x + 20 = 0.13x + 34 Reorder the terms: 20 + 0.16x = 0.13x + 34 Reorder the terms: 20 + 0.16x = 34 + 0.13x Solving 20 + 0.16x = 34 + 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 = 34 + 0.13x + -0.13x Combine like terms: 0.16x + -0.13x = 0.03x 20 + 0.03x = 34 + 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 20 + 0.03x = 34 + 0.00 20 + 0.03x = 34 Add '-20' to each side of the equation. 20 + -20 + 0.03x = 34 + -20 Combine like terms: 20 + -20 = 0 0 + 0.03x = 34 + -20 0.03x = 34 + -20 Combine like terms: 34 + -20 = 14 0.03x = 14 Divide each side by '0.03'. x = 466.6666667 Simplifying x = 466.6666667
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