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Simplifying -6.8(2x + 5) + -1.3(3x + 6) = 0 Reorder the terms: -6.8(5 + 2x) + -1.3(3x + 6) = 0 (5 * -6.8 + 2x * -6.8) + -1.3(3x + 6) = 0 (-34 + -13.6x) + -1.3(3x + 6) = 0 Reorder the terms: -34 + -13.6x + -1.3(6 + 3x) = 0 -34 + -13.6x + (6 * -1.3 + 3x * -1.3) = 0 -34 + -13.6x + (-7.8 + -3.9x) = 0 Reorder the terms: -34 + -7.8 + -13.6x + -3.9x = 0 Combine like terms: -34 + -7.8 = -41.8 -41.8 + -13.6x + -3.9x = 0 Combine like terms: -13.6x + -3.9x = -17.5x -41.8 + -17.5x = 0 Solving -41.8 + -17.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41.8' to each side of the equation. -41.8 + 41.8 + -17.5x = 0 + 41.8 Combine like terms: -41.8 + 41.8 = 0.0 0.0 + -17.5x = 0 + 41.8 -17.5x = 0 + 41.8 Combine like terms: 0 + 41.8 = 41.8 -17.5x = 41.8 Divide each side by '-17.5'. x = -2.388571429 Simplifying x = -2.388571429
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