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Simplifying 1.5(2 + -3x) = -24 (2 * 1.5 + -3x * 1.5) = -24 (3 + -4.5x) = -24 Solving 3 + -4.5x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4.5x = -24 + -3 Combine like terms: 3 + -3 = 0 0 + -4.5x = -24 + -3 -4.5x = -24 + -3 Combine like terms: -24 + -3 = -27 -4.5x = -27 Divide each side by '-4.5'. x = 6 Simplifying x = 6
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