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Simplifying -6.5(3x + 5) + -2.7(4x + -6) = 0 Reorder the terms: -6.5(5 + 3x) + -2.7(4x + -6) = 0 (5 * -6.5 + 3x * -6.5) + -2.7(4x + -6) = 0 (-32.5 + -19.5x) + -2.7(4x + -6) = 0 Reorder the terms: -32.5 + -19.5x + -2.7(-6 + 4x) = 0 -32.5 + -19.5x + (-6 * -2.7 + 4x * -2.7) = 0 -32.5 + -19.5x + (16.2 + -10.8x) = 0 Reorder the terms: -32.5 + 16.2 + -19.5x + -10.8x = 0 Combine like terms: -32.5 + 16.2 = -16.3 -16.3 + -19.5x + -10.8x = 0 Combine like terms: -19.5x + -10.8x = -30.3x -16.3 + -30.3x = 0 Solving -16.3 + -30.3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16.3' to each side of the equation. -16.3 + 16.3 + -30.3x = 0 + 16.3 Combine like terms: -16.3 + 16.3 = 0.0 0.0 + -30.3x = 0 + 16.3 -30.3x = 0 + 16.3 Combine like terms: 0 + 16.3 = 16.3 -30.3x = 16.3 Divide each side by '-30.3'. x = -0.5379537954 Simplifying x = -0.5379537954
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