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Simplifying 1.5x + 2(x + -3) + 5.5(x + 9) = 0 Reorder the terms: 1.5x + 2(-3 + x) + 5.5(x + 9) = 0 1.5x + (-3 * 2 + x * 2) + 5.5(x + 9) = 0 1.5x + (-6 + 2x) + 5.5(x + 9) = 0 Reorder the terms: 1.5x + -6 + 2x + 5.5(9 + x) = 0 1.5x + -6 + 2x + (9 * 5.5 + x * 5.5) = 0 1.5x + -6 + 2x + (49.5 + 5.5x) = 0 Reorder the terms: -6 + 49.5 + 1.5x + 2x + 5.5x = 0 Combine like terms: -6 + 49.5 = 43.5 43.5 + 1.5x + 2x + 5.5x = 0 Combine like terms: 1.5x + 2x = 3.5x 43.5 + 3.5x + 5.5x = 0 Combine like terms: 3.5x + 5.5x = 9x 43.5 + 9x = 0 Solving 43.5 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43.5' to each side of the equation. 43.5 + -43.5 + 9x = 0 + -43.5 Combine like terms: 43.5 + -43.5 = 0.0 0.0 + 9x = 0 + -43.5 9x = 0 + -43.5 Combine like terms: 0 + -43.5 = -43.5 9x = -43.5 Divide each side by '9'. x = -4.833333333 Simplifying x = -4.833333333
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