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Simplifying 0.45x + 0.5(20 + -1x) = 0.10(34) 0.45x + (20 * 0.5 + -1x * 0.5) = 0.10(34) 0.45x + (10 + -0.5x) = 0.10(34) Reorder the terms: 10 + 0.45x + -0.5x = 0.10(34) Combine like terms: 0.45x + -0.5x = -0.05x 10 + -0.05x = 0.10(34) Multiply 0.10 * 34 10 + -0.05x = 3.4 Solving 10 + -0.05x = 3.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -0.05x = 3.4 + -10 Combine like terms: 10 + -10 = 0 0 + -0.05x = 3.4 + -10 -0.05x = 3.4 + -10 Combine like terms: 3.4 + -10 = -6.6 -0.05x = -6.6 Divide each side by '-0.05'. x = 132 Simplifying x = 132
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