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Simplifying 0.3x + -0.2(3 + -5x) = -0.59x + -6 0.3x + (3 * -0.2 + -5x * -0.2) = -0.59x + -6 0.3x + (-0.6 + 1x) = -0.59x + -6 Reorder the terms: -0.6 + 0.3x + 1x = -0.59x + -6 Combine like terms: 0.3x + 1x = 1.3x -0.6 + 1.3x = -0.59x + -6 Reorder the terms: -0.6 + 1.3x = -6 + -0.59x Solving -0.6 + 1.3x = -6 + -0.59x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.59x' to each side of the equation. -0.6 + 1.3x + 0.59x = -6 + -0.59x + 0.59x Combine like terms: 1.3x + 0.59x = 1.89x -0.6 + 1.89x = -6 + -0.59x + 0.59x Combine like terms: -0.59x + 0.59x = 0.00 -0.6 + 1.89x = -6 + 0.00 -0.6 + 1.89x = -6 Add '0.6' to each side of the equation. -0.6 + 0.6 + 1.89x = -6 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 1.89x = -6 + 0.6 1.89x = -6 + 0.6 Combine like terms: -6 + 0.6 = -5.4 1.89x = -5.4 Divide each side by '1.89'. x = -2.857142857 Simplifying x = -2.857142857
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