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Simplifying 3.5x + 0.4(11x + -0.6) = 17.706 Reorder the terms: 3.5x + 0.4(-0.6 + 11x) = 17.706 3.5x + (-0.6 * 0.4 + 11x * 0.4) = 17.706 3.5x + (-0.24 + 4.4x) = 17.706 Reorder the terms: -0.24 + 3.5x + 4.4x = 17.706 Combine like terms: 3.5x + 4.4x = 7.9x -0.24 + 7.9x = 17.706 Solving -0.24 + 7.9x = 17.706 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.24' to each side of the equation. -0.24 + 0.24 + 7.9x = 17.706 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 7.9x = 17.706 + 0.24 7.9x = 17.706 + 0.24 Combine like terms: 17.706 + 0.24 = 17.946 7.9x = 17.946 Divide each side by '7.9'. x = 2.27164557 Simplifying x = 2.27164557
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