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Simplifying 0.04x + 0.10(100 + -1x) = 0.44x 0.04x + (100 * 0.10 + -1x * 0.10) = 0.44x 0.04x + (10 + -0.1x) = 0.44x Reorder the terms: 10 + 0.04x + -0.1x = 0.44x Combine like terms: 0.04x + -0.1x = -0.06x 10 + -0.06x = 0.44x Solving 10 + -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. 10 + -0.06x + -0.44x = 0.44x + -0.44x Combine like terms: -0.06x + -0.44x = -0.5x 10 + -0.5x = 0.44x + -0.44x Combine like terms: 0.44x + -0.44x = 0.00 10 + -0.5x = 0.00 Add '-10' to each side of the equation. 10 + -10 + -0.5x = 0.00 + -10 Combine like terms: 10 + -10 = 0 0 + -0.5x = 0.00 + -10 -0.5x = 0.00 + -10 Combine like terms: 0.00 + -10 = -10 -0.5x = -10 Divide each side by '-0.5'. x = 20 Simplifying x = 20
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