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Simplifying 6(5.5x + 1.5) + -6.5(8x + 5) = 0 Reorder the terms: 6(1.5 + 5.5x) + -6.5(8x + 5) = 0 (1.5 * 6 + 5.5x * 6) + -6.5(8x + 5) = 0 (9 + 33x) + -6.5(8x + 5) = 0 Reorder the terms: 9 + 33x + -6.5(5 + 8x) = 0 9 + 33x + (5 * -6.5 + 8x * -6.5) = 0 9 + 33x + (-32.5 + -52x) = 0 Reorder the terms: 9 + -32.5 + 33x + -52x = 0 Combine like terms: 9 + -32.5 = -23.5 -23.5 + 33x + -52x = 0 Combine like terms: 33x + -52x = -19x -23.5 + -19x = 0 Solving -23.5 + -19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23.5' to each side of the equation. -23.5 + 23.5 + -19x = 0 + 23.5 Combine like terms: -23.5 + 23.5 = 0.0 0.0 + -19x = 0 + 23.5 -19x = 0 + 23.5 Combine like terms: 0 + 23.5 = 23.5 -19x = 23.5 Divide each side by '-19'. x = -1.236842105 Simplifying x = -1.236842105
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