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Simplifying -6.9(3x + 5) + -2.2(4x + -6) = 0 Reorder the terms: -6.9(5 + 3x) + -2.2(4x + -6) = 0 (5 * -6.9 + 3x * -6.9) + -2.2(4x + -6) = 0 (-34.5 + -20.7x) + -2.2(4x + -6) = 0 Reorder the terms: -34.5 + -20.7x + -2.2(-6 + 4x) = 0 -34.5 + -20.7x + (-6 * -2.2 + 4x * -2.2) = 0 -34.5 + -20.7x + (13.2 + -8.8x) = 0 Reorder the terms: -34.5 + 13.2 + -20.7x + -8.8x = 0 Combine like terms: -34.5 + 13.2 = -21.3 -21.3 + -20.7x + -8.8x = 0 Combine like terms: -20.7x + -8.8x = -29.5x -21.3 + -29.5x = 0 Solving -21.3 + -29.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21.3' to each side of the equation. -21.3 + 21.3 + -29.5x = 0 + 21.3 Combine like terms: -21.3 + 21.3 = 0.0 0.0 + -29.5x = 0 + 21.3 -29.5x = 0 + 21.3 Combine like terms: 0 + 21.3 = 21.3 -29.5x = 21.3 Divide each side by '-29.5'. x = -0.7220338983 Simplifying x = -0.7220338983
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