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Simplifying -6.9(3x + 5) + -1.4(4x + -6) = 0 Reorder the terms: -6.9(5 + 3x) + -1.4(4x + -6) = 0 (5 * -6.9 + 3x * -6.9) + -1.4(4x + -6) = 0 (-34.5 + -20.7x) + -1.4(4x + -6) = 0 Reorder the terms: -34.5 + -20.7x + -1.4(-6 + 4x) = 0 -34.5 + -20.7x + (-6 * -1.4 + 4x * -1.4) = 0 -34.5 + -20.7x + (8.4 + -5.6x) = 0 Reorder the terms: -34.5 + 8.4 + -20.7x + -5.6x = 0 Combine like terms: -34.5 + 8.4 = -26.1 -26.1 + -20.7x + -5.6x = 0 Combine like terms: -20.7x + -5.6x = -26.3x -26.1 + -26.3x = 0 Solving -26.1 + -26.3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26.1' to each side of the equation. -26.1 + 26.1 + -26.3x = 0 + 26.1 Combine like terms: -26.1 + 26.1 = 0.0 0.0 + -26.3x = 0 + 26.1 -26.3x = 0 + 26.1 Combine like terms: 0 + 26.1 = 26.1 -26.3x = 26.1 Divide each side by '-26.3'. x = -0.9923954373 Simplifying x = -0.9923954373
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