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Simplifying 0.06(x + 300) = 0.65x + -205 Reorder the terms: 0.06(300 + x) = 0.65x + -205 (300 * 0.06 + x * 0.06) = 0.65x + -205 (18 + 0.06x) = 0.65x + -205 Reorder the terms: 18 + 0.06x = -205 + 0.65x Solving 18 + 0.06x = -205 + 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. 18 + 0.06x + -0.65x = -205 + 0.65x + -0.65x Combine like terms: 0.06x + -0.65x = -0.59x 18 + -0.59x = -205 + 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 18 + -0.59x = -205 + 0.00 18 + -0.59x = -205 Add '-18' to each side of the equation. 18 + -18 + -0.59x = -205 + -18 Combine like terms: 18 + -18 = 0 0 + -0.59x = -205 + -18 -0.59x = -205 + -18 Combine like terms: -205 + -18 = -223 -0.59x = -223 Divide each side by '-0.59'. x = 377.9661017 Simplifying x = 377.9661017
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