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Simplifying 0.4x + 0.5(x + -400) = 128 Reorder the terms: 0.4x + 0.5(-400 + x) = 128 0.4x + (-400 * 0.5 + x * 0.5) = 128 0.4x + (-200 + 0.5x) = 128 Reorder the terms: -200 + 0.4x + 0.5x = 128 Combine like terms: 0.4x + 0.5x = 0.9x -200 + 0.9x = 128 Solving -200 + 0.9x = 128 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + 0.9x = 128 + 200 Combine like terms: -200 + 200 = 0 0 + 0.9x = 128 + 200 0.9x = 128 + 200 Combine like terms: 128 + 200 = 328 0.9x = 328 Divide each side by '0.9'. x = 364.4444444 Simplifying x = 364.4444444
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