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Simplifying 0.05x + 0.25(30 + -1x) = 4.90 0.05x + (30 * 0.25 + -1x * 0.25) = 4.90 0.05x + (7.5 + -0.25x) = 4.90 Reorder the terms: 7.5 + 0.05x + -0.25x = 4.90 Combine like terms: 0.05x + -0.25x = -0.2x 7.5 + -0.2x = 4.90 Solving 7.5 + -0.2x = 4.90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.2x = 4.90 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.2x = 4.90 + -7.5 -0.2x = 4.90 + -7.5 Combine like terms: 4.90 + -7.5 = -2.6 -0.2x = -2.6 Divide each side by '-0.2'. x = 13 Simplifying x = 13
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