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Simplifying 0.5x + 1 = 0.05x + 1.9 Reorder the terms: 1 + 0.5x = 0.05x + 1.9 Reorder the terms: 1 + 0.5x = 1.9 + 0.05x Solving 1 + 0.5x = 1.9 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 1 + 0.5x + -0.05x = 1.9 + 0.05x + -0.05x Combine like terms: 0.5x + -0.05x = 0.45x 1 + 0.45x = 1.9 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 1 + 0.45x = 1.9 + 0.00 1 + 0.45x = 1.9 Add '-1' to each side of the equation. 1 + -1 + 0.45x = 1.9 + -1 Combine like terms: 1 + -1 = 0 0 + 0.45x = 1.9 + -1 0.45x = 1.9 + -1 Combine like terms: 1.9 + -1 = 0.9 0.45x = 0.9 Divide each side by '0.45'. x = 2 Simplifying x = 2
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