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Simplifying 0.6(x + -300) + 0.05x = 0.7x + -205 Reorder the terms: 0.6(-300 + x) + 0.05x = 0.7x + -205 (-300 * 0.6 + x * 0.6) + 0.05x = 0.7x + -205 (-180 + 0.6x) + 0.05x = 0.7x + -205 Combine like terms: 0.6x + 0.05x = 0.65x -180 + 0.65x = 0.7x + -205 Reorder the terms: -180 + 0.65x = -205 + 0.7x Solving -180 + 0.65x = -205 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. -180 + 0.65x + -0.7x = -205 + 0.7x + -0.7x Combine like terms: 0.65x + -0.7x = -0.05x -180 + -0.05x = -205 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -180 + -0.05x = -205 + 0.0 -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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