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Simplifying 5.7x + -3.1(x + 5) = -4.06 Reorder the terms: 5.7x + -3.1(5 + x) = -4.06 5.7x + (5 * -3.1 + x * -3.1) = -4.06 5.7x + (-15.5 + -3.1x) = -4.06 Reorder the terms: -15.5 + 5.7x + -3.1x = -4.06 Combine like terms: 5.7x + -3.1x = 2.6x -15.5 + 2.6x = -4.06 Solving -15.5 + 2.6x = -4.06 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15.5' to each side of the equation. -15.5 + 15.5 + 2.6x = -4.06 + 15.5 Combine like terms: -15.5 + 15.5 = 0.0 0.0 + 2.6x = -4.06 + 15.5 2.6x = -4.06 + 15.5 Combine like terms: -4.06 + 15.5 = 11.44 2.6x = 11.44 Divide each side by '2.6'. x = 4.4 Simplifying x = 4.4
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