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Simplifying 0.03x + 0.10(400 + -1X) = 0.43x 0.03x + (400 * 0.10 + -1X * 0.10) = 0.43x 0.03x + (40 + -0.1X) = 0.43x Reorder the terms: 40 + -0.1X + 0.03x = 0.43x Solving 40 + -0.1X + 0.03x = 0.43x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -0.1X + -40 + 0.03x = -40 + 0.43x Reorder the terms: 40 + -40 + -0.1X + 0.03x = -40 + 0.43x Combine like terms: 40 + -40 = 0 0 + -0.1X + 0.03x = -40 + 0.43x -0.1X + 0.03x = -40 + 0.43x Add '-0.03x' to each side of the equation. -0.1X + 0.03x + -0.03x = -40 + 0.43x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.1X + 0.00 = -40 + 0.43x + -0.03x -0.1X = -40 + 0.43x + -0.03x Combine like terms: 0.43x + -0.03x = 0.4x -0.1X = -40 + 0.4x Divide each side by '-0.1'. X = 400 + -4x Simplifying X = 400 + -4x
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