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Simplifying -6.9(2x + 6) + -1.2(3x + -5) = 0 Reorder the terms: -6.9(6 + 2x) + -1.2(3x + -5) = 0 (6 * -6.9 + 2x * -6.9) + -1.2(3x + -5) = 0 (-41.4 + -13.8x) + -1.2(3x + -5) = 0 Reorder the terms: -41.4 + -13.8x + -1.2(-5 + 3x) = 0 -41.4 + -13.8x + (-5 * -1.2 + 3x * -1.2) = 0 -41.4 + -13.8x + (6 + -3.6x) = 0 Reorder the terms: -41.4 + 6 + -13.8x + -3.6x = 0 Combine like terms: -41.4 + 6 = -35.4 -35.4 + -13.8x + -3.6x = 0 Combine like terms: -13.8x + -3.6x = -17.4x -35.4 + -17.4x = 0 Solving -35.4 + -17.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35.4' to each side of the equation. -35.4 + 35.4 + -17.4x = 0 + 35.4 Combine like terms: -35.4 + 35.4 = 0.0 0.0 + -17.4x = 0 + 35.4 -17.4x = 0 + 35.4 Combine like terms: 0 + 35.4 = 35.4 -17.4x = 35.4 Divide each side by '-17.4'. x = -2.034482759 Simplifying x = -2.034482759
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