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Simplifying -4.3(1 + -3.4x) = 39.838 + -0.6x (1 * -4.3 + -3.4x * -4.3) = 39.838 + -0.6x (-4.3 + 14.62x) = 39.838 + -0.6x Solving -4.3 + 14.62x = 39.838 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -4.3 + 14.62x + 0.6x = 39.838 + -0.6x + 0.6x Combine like terms: 14.62x + 0.6x = 15.22x -4.3 + 15.22x = 39.838 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -4.3 + 15.22x = 39.838 + 0.0 -4.3 + 15.22x = 39.838 Add '4.3' to each side of the equation. -4.3 + 4.3 + 15.22x = 39.838 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + 15.22x = 39.838 + 4.3 15.22x = 39.838 + 4.3 Combine like terms: 39.838 + 4.3 = 44.138 15.22x = 44.138 Divide each side by '15.22'. x = 2.9 Simplifying x = 2.9
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