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Simplifying 3.5x + 0.04(11x + -0.6) = 17.706 Reorder the terms: 3.5x + 0.04(-0.6 + 11x) = 17.706 3.5x + (-0.6 * 0.04 + 11x * 0.04) = 17.706 3.5x + (-0.024 + 0.44x) = 17.706 Reorder the terms: -0.024 + 3.5x + 0.44x = 17.706 Combine like terms: 3.5x + 0.44x = 3.94x -0.024 + 3.94x = 17.706 Solving -0.024 + 3.94x = 17.706 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.024' to each side of the equation. -0.024 + 0.024 + 3.94x = 17.706 + 0.024 Combine like terms: -0.024 + 0.024 = 0.000 0.000 + 3.94x = 17.706 + 0.024 3.94x = 17.706 + 0.024 Combine like terms: 17.706 + 0.024 = 17.73 3.94x = 17.73 Divide each side by '3.94'. x = 4.5 Simplifying x = 4.5
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