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Simplifying -11(2x + -3) + 9(-4.5x + -2.3) = 0 Reorder the terms: -11(-3 + 2x) + 9(-4.5x + -2.3) = 0 (-3 * -11 + 2x * -11) + 9(-4.5x + -2.3) = 0 (33 + -22x) + 9(-4.5x + -2.3) = 0 Reorder the terms: 33 + -22x + 9(-2.3 + -4.5x) = 0 33 + -22x + (-2.3 * 9 + -4.5x * 9) = 0 33 + -22x + (-20.7 + -40.5x) = 0 Reorder the terms: 33 + -20.7 + -22x + -40.5x = 0 Combine like terms: 33 + -20.7 = 12.3 12.3 + -22x + -40.5x = 0 Combine like terms: -22x + -40.5x = -62.5x 12.3 + -62.5x = 0 Solving 12.3 + -62.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.3' to each side of the equation. 12.3 + -12.3 + -62.5x = 0 + -12.3 Combine like terms: 12.3 + -12.3 = 0.0 0.0 + -62.5x = 0 + -12.3 -62.5x = 0 + -12.3 Combine like terms: 0 + -12.3 = -12.3 -62.5x = -12.3 Divide each side by '-62.5'. x = 0.1968 Simplifying x = 0.1968
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