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Simplifying 2.6(-2 + -8x) = -6 + -19.4x (-2 * 2.6 + -8x * 2.6) = -6 + -19.4x (-5.2 + -20.8x) = -6 + -19.4x Solving -5.2 + -20.8x = -6 + -19.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19.4x' to each side of the equation. -5.2 + -20.8x + 19.4x = -6 + -19.4x + 19.4x Combine like terms: -20.8x + 19.4x = -1.4x -5.2 + -1.4x = -6 + -19.4x + 19.4x Combine like terms: -19.4x + 19.4x = 0.0 -5.2 + -1.4x = -6 + 0.0 -5.2 + -1.4x = -6 Add '5.2' to each side of the equation. -5.2 + 5.2 + -1.4x = -6 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + -1.4x = -6 + 5.2 -1.4x = -6 + 5.2 Combine like terms: -6 + 5.2 = -0.8 -1.4x = -0.8 Divide each side by '-1.4'. x = 0.5714285714 Simplifying x = 0.5714285714
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