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Simplifying 0.6(x + -300) = 0.65x + -205 Reorder the terms: 0.6(-300 + x) = 0.65x + -205 (-300 * 0.6 + x * 0.6) = 0.65x + -205 (-180 + 0.6x) = 0.65x + -205 Reorder the terms: -180 + 0.6x = -205 + 0.65x Solving -180 + 0.6x = -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. -180 + 0.6x + -0.65x = -205 + 0.65x + -0.65x Combine like terms: 0.6x + -0.65x = -0.05x -180 + -0.05x = -205 + 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 -180 + -0.05x = -205 + 0.00 -180 + -0.05x = -205 Add '180' to each side of the equation. -180 + 180 + -0.05x = -205 + 180 Combine like terms: -180 + 180 = 0 0 + -0.05x = -205 + 180 -0.05x = -205 + 180 Combine like terms: -205 + 180 = -25 -0.05x = -25 Divide each side by '-0.05'. x = 500 Simplifying x = 500
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