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Simplifying -6.8(2x + 5) + -2.6(3x + -6) = 0 Reorder the terms: -6.8(5 + 2x) + -2.6(3x + -6) = 0 (5 * -6.8 + 2x * -6.8) + -2.6(3x + -6) = 0 (-34 + -13.6x) + -2.6(3x + -6) = 0 Reorder the terms: -34 + -13.6x + -2.6(-6 + 3x) = 0 -34 + -13.6x + (-6 * -2.6 + 3x * -2.6) = 0 -34 + -13.6x + (15.6 + -7.8x) = 0 Reorder the terms: -34 + 15.6 + -13.6x + -7.8x = 0 Combine like terms: -34 + 15.6 = -18.4 -18.4 + -13.6x + -7.8x = 0 Combine like terms: -13.6x + -7.8x = -21.4x -18.4 + -21.4x = 0 Solving -18.4 + -21.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18.4' to each side of the equation. -18.4 + 18.4 + -21.4x = 0 + 18.4 Combine like terms: -18.4 + 18.4 = 0.0 0.0 + -21.4x = 0 + 18.4 -21.4x = 0 + 18.4 Combine like terms: 0 + 18.4 = 18.4 -21.4x = 18.4 Divide each side by '-21.4'. x = -0.8598130841 Simplifying x = -0.8598130841
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