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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 = -72 0.9x = -72 Divide each side by '0.9'. x = -80 Simplifying x = -80
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