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Simplifying 0.04x + 0.10(300 + -1x) = 0.44x 0.04x + (300 * 0.10 + -1x * 0.10) = 0.44x 0.04x + (30 + -0.1x) = 0.44x Reorder the terms: 30 + 0.04x + -0.1x = 0.44x Combine like terms: 0.04x + -0.1x = -0.06x 30 + -0.06x = 0.44x Solving 30 + -0.06x = 0.44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.44x' to each side of the equation. 30 + -0.06x + -0.44x = 0.44x + -0.44x Combine like terms: -0.06x + -0.44x = -0.5x 30 + -0.5x = 0.44x + -0.44x Combine like terms: 0.44x + -0.44x = 0.00 30 + -0.5x = 0.00 Add '-30' to each side of the equation. 30 + -30 + -0.5x = 0.00 + -30 Combine like terms: 30 + -30 = 0 0 + -0.5x = 0.00 + -30 -0.5x = 0.00 + -30 Combine like terms: 0.00 + -30 = -30 -0.5x = -30 Divide each side by '-0.5'. x = 60 Simplifying x = 60
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