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Simplifying 1.5(1 + 0.5x) = -6 (1 * 1.5 + 0.5x * 1.5) = -6 (1.5 + 0.75x) = -6 Solving 1.5 + 0.75x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.75x = -6 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.75x = -6 + -1.5 0.75x = -6 + -1.5 Combine like terms: -6 + -1.5 = -7.5 0.75x = -7.5 Divide each side by '0.75'. x = -10 Simplifying x = -10
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