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Simplifying 0.13x + 9 = 0.16x + 8 Reorder the terms: 9 + 0.13x = 0.16x + 8 Reorder the terms: 9 + 0.13x = 8 + 0.16x Solving 9 + 0.13x = 8 + 0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.16x' to each side of the equation. 9 + 0.13x + -0.16x = 8 + 0.16x + -0.16x Combine like terms: 0.13x + -0.16x = -0.03x 9 + -0.03x = 8 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 9 + -0.03x = 8 + 0.00 9 + -0.03x = 8 Add '-9' to each side of the equation. 9 + -9 + -0.03x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -0.03x = 8 + -9 -0.03x = 8 + -9 Combine like terms: 8 + -9 = -1 -0.03x = -1 Divide each side by '-0.03'. x = 33.33333333 Simplifying x = 33.33333333
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