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Simplifying 0.04x + 0.10(400 + -1x) = 0.44 0.04x + (400 * 0.10 + -1x * 0.10) = 0.44 0.04x + (40 + -0.1x) = 0.44 Reorder the terms: 40 + 0.04x + -0.1x = 0.44 Combine like terms: 0.04x + -0.1x = -0.06x 40 + -0.06x = 0.44 Solving 40 + -0.06x = 0.44 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 + -40 + -0.06x = 0.44 + -40 Combine like terms: 40 + -40 = 0 0 + -0.06x = 0.44 + -40 -0.06x = 0.44 + -40 Combine like terms: 0.44 + -40 = -39.56 -0.06x = -39.56 Divide each side by '-0.06'. x = 659.3333333 Simplifying x = 659.3333333
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