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Simplifying 0.13x + 0.18(50 + -1x) = 0.16(50) 0.13x + (50 * 0.18 + -1x * 0.18) = 0.16(50) 0.13x + (9 + -0.18x) = 0.16(50) Reorder the terms: 9 + 0.13x + -0.18x = 0.16(50) Combine like terms: 0.13x + -0.18x = -0.05x 9 + -0.05x = 0.16(50) Multiply 0.16 * 50 9 + -0.05x = 8 Solving 9 + -0.05x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -0.05x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -0.05x = 8 + -9 -0.05x = 8 + -9 Combine like terms: 8 + -9 = -1 -0.05x = -1 Divide each side by '-0.05'. x = 20 Simplifying x = 20
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