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Simplifying 0.6(x + 100) = 0.65x + -305 Reorder the terms: 0.6(100 + x) = 0.65x + -305 (100 * 0.6 + x * 0.6) = 0.65x + -305 (60 + 0.6x) = 0.65x + -305 Reorder the terms: 60 + 0.6x = -305 + 0.65x Solving 60 + 0.6x = -305 + 0.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.65x' to each side of the equation. 60 + 0.6x + -0.65x = -305 + 0.65x + -0.65x Combine like terms: 0.6x + -0.65x = -0.05x 60 + -0.05x = -305 + 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 60 + -0.05x = -305 + 0.00 60 + -0.05x = -305 Add '-60' to each side of the equation. 60 + -60 + -0.05x = -305 + -60 Combine like terms: 60 + -60 = 0 0 + -0.05x = -305 + -60 -0.05x = -305 + -60 Combine like terms: -305 + -60 = -365 -0.05x = -365 Divide each side by '-0.05'. x = 7300 Simplifying x = 7300
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