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Simplifying 4.5(x + 1.5(x + -6)) = 0 Reorder the terms: 4.5(x + 1.5(-6 + x)) = 0 4.5(x + (-6 * 1.5 + x * 1.5)) = 0 4.5(x + (-9 + 1.5x)) = 0 Reorder the terms: 4.5(-9 + x + 1.5x) = 0 Combine like terms: x + 1.5x = 2.5x 4.5(-9 + 2.5x) = 0 (-9 * 4.5 + 2.5x * 4.5) = 0 (-40.5 + 11.25x) = 0 Solving -40.5 + 11.25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40.5' to each side of the equation. -40.5 + 40.5 + 11.25x = 0 + 40.5 Combine like terms: -40.5 + 40.5 = 0.0 0.0 + 11.25x = 0 + 40.5 11.25x = 0 + 40.5 Combine like terms: 0 + 40.5 = 40.5 11.25x = 40.5 Divide each side by '11.25'. x = 3.6 Simplifying x = 3.6
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