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Simplifying 0.05x + 0.50(100 + -1x) = -0.35x 0.05x + (100 * 0.50 + -1x * 0.50) = -0.35x 0.05x + (50 + -0.5x) = -0.35x Reorder the terms: 50 + 0.05x + -0.5x = -0.35x Combine like terms: 0.05x + -0.5x = -0.45x 50 + -0.45x = -0.35x Solving 50 + -0.45x = -0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.35x' to each side of the equation. 50 + -0.45x + 0.35x = -0.35x + 0.35x Combine like terms: -0.45x + 0.35x = -0.1x 50 + -0.1x = -0.35x + 0.35x Combine like terms: -0.35x + 0.35x = 0.00 50 + -0.1x = 0.00 Add '-50' to each side of the equation. 50 + -50 + -0.1x = 0.00 + -50 Combine like terms: 50 + -50 = 0 0 + -0.1x = 0.00 + -50 -0.1x = 0.00 + -50 Combine like terms: 0.00 + -50 = -50 -0.1x = -50 Divide each side by '-0.1'. x = 500 Simplifying x = 500
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